Goals from Rodri and Kevin De Bruyne secured a 2-0 win for Manchester City.
Man Utd vs Man City: Manchester United face a huge task when the two sides meet again for the League Cup semi-final, second leg on January 29 (local time).
Man City beat Sheffield United 2-0 on Sunday thanks to second-half strikes from Sergio Aguero and Kevin de Bruyne.
Premier League: Man City blew a two-goal lead and had Ederson sent off in a dramatic 3-2 defeat at Wolves on Friday.
Leicester City arrived in Manchester on an 11-match unbeaten run, but were outclassed throughout despite taking the lead through Jamie Vardy.
Liverpool, who top the Premier League table, host defending champions Manchester City at Anfield on Sunday.
Man City vs Watford: Bernardo Silva's hat-trick helped Manchester City record their biggest ever top-flight victory.
Kevin De Bruyne set up three goals inside the first 32 minutes before capping a brilliant individual display by rounding off the scoring.
Manchester City's quest for four trophies continued with a 5-0 thrashing of Burnley in FA Cup.
The win over Everton, moved Manchester City two points ahead of Liverpool, who host Manchester United on Sunday.
Kevin De Bruyne limped off in the closing minutes of City's 2-0 victory at the Etihad Stadium.
Manchester City initially feared that De Bruyne would be out of action until late November.
Gareth Bale and Kevin De Bruyne were among the first 10 nominees for the Ballon d'Or award announced on Monday.
Kevin De Bruyne will not have to undergo surgery on the injury which he suffered in training on Wednesday.
Kevin de Bruyne is undergoing tests on his right knee after sustaining an injury at training.
Kevin de Bruyne scored eight goals and provided 16 assists in City's title win.
This is the third edition of the Best FIFA awards following the end of a six-year merger between the FIFA honour and France Football's Ballon d'Or in 2016.
World Cup 2018 Semi Final: Samuel Umtiti's header propelled France to tournament final for the first time in 12 years.