On a day when Unai Emery's side were not at their best, in-form Rogers put them ahead with a curling shot into the corner a minute before the break. After Matheus Cunha had capitalised on a Matty Cash error to level, Rogers stepped inside United defender Leny Yoro a second time before curling a replica effort over Senne Lammens for his sixth goal in as many league games. Emery reacted by ripping his coat off and throwing it into the air as his side recorded only their second win in 27 home Premier League games against United and moved to within three points of leaders Arsenal. It was a bad day for United head coach Ruben Amorim, who lost talisman Bruno Fernandes to injury at half-time, and was already without six senior players through a combination of injury, suspension and Africa Cup of Nations duty before Kobbie Mainoo pulled out pre-game with a calf problem. That misery was only magnified when Fernandes pulled up towards the end of the first half and suggested he had hurt his hamstring. Although the United skipper continued to the break, he did not reappear for the second period and was walking very gingerly as he made his way slowly to the dug-out, suggesting he is set for an extended period on the sidelines. It has come at the worst possible time, just as their squad is being stretched, with youngsters Jack Fletcher and Shea Lacey both making their debuts as substitutes in the second half and Cunha heading United's best chance to equalise wide from six yards.

Two first-half goals from Josip Stanisic and Michael Olise helped Bayern on their way to a win that sees them end the year nine points above second-placed Borussia Dortmund. Stanisic headed home from close-range with Olise also striking inside the box. Luis Diaz increased Bayern's lead in the 86th minute, heading in Stanisic's cross, before Harry Kane rounded off the victory by slotting into the bottom corner in second-half stoppage time. England striker Kane captained the side in the absence of goalkeeper Manuel Neuer who was out with a hamstring injury. Vincent Kompany's side have now been on top of the Bundesliga standings for an entire calendar year - a top-flight first. Bayern's nine-point lead at the top is the second-biggest margin ever at this stage of a season. The league will resume after the winter break on Friday, January 9 when Eintracht Frankfurt host Dortmund (19:30 GMT).

The French manager, who had unprecedently lost his first four games in charge of the side, was already under severe pressure from the Celtic support despite only being in post for 17 days – but his team were utterly dominant on Sunday. At first, it didn't look like the improved performance was going to be rewarded. Kenan Bilalovic's cool finish for the visitors - who lost Dylan Lobban just before the break to a straight red card - cancelled out Benjamin Nygren's first-half strike to set Aberdeen up for a frankly ridiculous draw. Ridiculous, because Celtic had rattled the frame of the goal three times and forced Dimitar Mitov into making two genuinely world-class saves in a whirlwind start to the second half. So when Bilalovic broke free from the Celtic defence to shoot under Kasper Schmeichel in extraordinary fashion, it seemed unbelievable. The panicking Parkhead side lost the flow that had created such golden chances but were able to then dip into their experience to secure a pivotal three points. Tierney was on hand to head in Colby Donovan's delightful cross and spark relief in the stands as well as the dugout. And Forrest's stoppage-time finish - the 17th season in a row he's scored in the Scottish top flight - ensured a first win in five and keeps Celtic within six points of league leaders Hearts with a game in hand.

In a breathless opening, Hansi Flick's side took a 12th-minute lead against the run of play when Raphinha converted from the penalty spot after being brought down in the penalty area by Santi Comesana. Villarreal, who had won their last six La Liga games, were reduced to 10 men in the 39th minute when former Chelsea youngster Renato Veiga was shown a straight red card for a rash challenge from behind on Lamine Yamal. The Barcelona teenager all but ended the game as a contest in the 63rd minute, poking home calmly from close range after a scramble in the penalty area. Fourth-placed Villarreal will have been frustrated not to have taken an early lead at the Estadio de la Ceramica after creating several early opportunities prior to Raphinha's opener. Former Arsenal forward Nicolas Pepe headed wide from close range, while ex-Newcastle frontman Ayoze Perez had a goal-bound strike deflected off target before sending a tame shot into Joan Garcia's arms from the edge of the box. Raphinha was unfortunate not to double his - and Barcelona's - tally in the first half when he rattled the crossbar with a venomous effort from the edge of the penalty area. However, the home side thought they had restored parity before half-time when Jules Kounde turned Sergi Cardona's low cross into his own net - only for the goal to be ruled out for offside against the Villarreal full-back. Pepe also struck the bar in a one-on-one with Barcelona goalkeeper Garcia, but that goal too would have been disallowed after the Ivorian mistimed his run from Dani Parejo's pass. The second period was a less frantic affair as Barcelona looked to press home their numerical advantage, and Villarreal goalkeeper Luiz Junior needed to be at full stretch to prevent Fermin Lopez from finding the bottom corner not long after the restart. Yamal settled the outcome, however, poking the ball into the far corner for his ninth goal of the season in all competitions. Georges Mikautadze was then denied in a one-on-one with Garcia with 13 minutes remaining, but Barca comfortably saw out the final stages to stretch their winning La Liga run to eight games. They return to action after the winter break against city rivals Espanyol on Saturday, 3 January (20:00 GMT), while Villarreal travel to Elche earlier that day (17:30 GMT).

Real took the lead seven minutes before the break when Jude Bellingham leaped above Lucien Agoume and glanced a header from a Rodrygo free-kick into the top corner. Sevilla had opportunities to equalise, although Real's task was made easier after the break when Marcao was shown a second yellow card for a rash foul on Bellingham. Mbappe, celebrating his 27th birthday, then converted from the penalty spot in the 86th minute, after Rodrygo was clumsily fouled by Juanlu Sanchez, to equal Ronaldo's record from 2013. "It's a special day because it's my birthday. I always said it would be a dream to play in a game on my birthday and at Real Madrid, the club of my dreams," Mbappe told Real Madrid TV. "It was the objective to finish the year with a positive result and the record is incredible. "To do like Cristiano did, my idol, the best player in Real Madrid's history and a world great, it's an honour for me." Until late in the game France forward Mbappe had endured something of a frustrating evening. He had failed to register a shot on target in the first half before shooting straight at Odysseas Vlachodimos in the Sevilla goal shortly after half-time. Isaac Romero then had two good opportunities to equalise as Sevilla picked off Real on the counter-attack, only for Thibaut Courtois to deny him on both occasions. Mbappe had another chance when he dribbled inside from the left flank but curled a shot from a tight angle beyond the far post, then headed against the crossbar. However, the moment to match the milestone of Bernabeu legend Ronaldo arrived late in the contest and he duly sent Vlachodimos the wrong way with his spot-kick. Real were awarded a second penalty when Bellingham was felled - potentially giving Mbappe a chance to break Ronaldo's record - only for the Video Assistant Referee to overturn it on review.