Aston Villa and Chelsea drop crucial points in the Premier League as Leeds and Burnley earn draws; James Milner sets appearance record.
Manchester City defeated Salford City in the FA Cup, while Burnley suffered a surprising defeat to Mansfield Town. West Ham United and Norwich City also secured victories in their respective matches.
Arsenal moved nine points clear in the Premier League after beating Everton 2-0 as 16-year-old Max Dowman became the youngest scorer in league history, while Manchester City dropped points at West Ham.
City, Liverpool all cruise in respective FA Cup matches played on Saturday.
Liverpool secured a dominant win over West Ham, while other Premier League matches saw Brentford edge Burnley in a seven-goal thriller and Everton secure a late victory against Newcastle.
Carrick faces first test as United boss in Manchester derby showdown
Chelsea's Enzo Fernandez scored a smash-and-grab goal deep in injury time to salvage a 1-1 draw with Manchester City on Sunday.
Manchester City halved Arsenal's lead at the top of the Premier League to three points with a 3-0 win over visitors Fulham, while Aston Villa stayed in the frame with a late 1-0 victory at home to Brighton & Hove Albion on Wednesday.
Teenager Tom Edozie scored a 94th-minute equaliser on debut as Arsenal let a two-goal lead slip at bottom side Wolverhampton Wanderers in a 2-2 draw.
Manchester City set up a League Cup final date with Arsenal after a comprehensive 3-1 second-leg victory over visiting Newcastle United secured a 5-1 aggregate win in their semi-final.
Goals from Omar Marmoush and Antoine Semenyo powered Manchester City to a muchneeded 20 home win over Wolverhampton Wanderers on Saturday, lifting Pep Guardiola's men provisionally to within four points of leaders Arsenal in the Premier League title race.
Man City snatch chaotic 2-1 win at Liverpool to stay on Arsenal's heels
Manchester City's Antoine Semenyo made it two goals from two games for his new club and Rayan Cherki struck in stoppage time as Pep Guardiola's side beat holders Newcastle United 2-0 away in the first leg of their League Cup semi-final on Tuesday.
City midfielder Phil Foden was not named in England coach Thomas Tuchel's squad for a pair of upcoming games, after requesting to be omitted. Foden said this week he was nursing an ankle injury.
Arsenal took a seven-point lead at the top of the Premier League after a scoreless draw with Nottingham Forest on Saturday.
IMAGES from the UEFA Champions League match played between Bodo/Glimt and Manchester City in Bodo, Norway, on Tuesday.
Arsenal's Premier League title prospects were enhanced without them even kicking a ball on Wednesday as their closest challengers Manchester City and Aston Villa both dropped points.
Second-placed City would have reduced Arsenal's advantage to two points but instead were frustrated as their winning streak in all competitions was halted at eight.
Antoine Semenyo has bewildered defences with 10 goals and three assists this season for Bournemouth.
LATE MILEY GOAL SENDS NEWCASTLE THROUGH
In a video that has now gone viral, Guardiola is seen giving young autograph hunters a dressing down for missing school and doing business reselling football memorabilia.
Manchester City climbed back to the top of the table with a ruthless 3-0 dismantling of West Ham United on Saturday, as Erling Haaland bagged a double to top Cristiano Ronaldo's Premier League goals tally in less than half the time.
City travel to Rodri's former club Villarreal on Tuesday in the Champions League before facing Villa in the Premier League on Sunday.
Nico O'Reilly's opportunistic strike and Erling Haaland's penalty helped Manchester City to fight back to beat Real Madrid 2-1 in a tense Champions League contest at the Santiago Bernabeu on Wednesday.
Manchester City maintained their squeeze on Arsenal at the top of the Premier League with a 3-0 victory at Crystal Palace on Sunday, a result that keeps Pep Guardiola's side lurking two points behind the leaders and ready to pounce.
Manchester City manager Pep Guardiola has noticed an increase in opposing teams adopting a man-marking approach.
Manchester City's Erling Haaland achieved the feat in 111 games, 13 fewer than the previous fastest centurion Alan Shearer.
Midfielder Phil Foden delivered in dramatic fashion, scoring in the first and 91st minutes, to seal Manchester City's 3-2 victory over Leeds United.
Manchester City seized the opportunity of Arsenal's 2-1 loss at Aston Villa earlier in the day to climb within two points of the leaders.
After Saturday's 2-1 win at Chelsea - their 12th in 13 league matches - Aston Villa have claimed 18 points from losing positions so far this season, more than any other team.
Manchester City's Erling Haaland became the fastest player to reach 100 Premier League goals to ignite their charge on Tuesday.
With Manchester City mired in a six-game winless slump and facing one of their biggest challenges this season at Liverpool this weekend, manager Pep Guardiola said the onus was on him to prove he can right the ship.
Indian club East Bengal produced an utterly dominant show to crush Bangladesh's Bashundhara Kings 4-0 in their AFC Challenge League match in Thimphu on Tuesday.
Man City ease to 3-0 win over Liverpool as Guardiola celebrates 1,000th game in style
Guardiola said the expanded Club World Cup would make it even more difficult for clubs to manage player workload.
A round-up of Tuesday's action in the UEFA Champions League.
Manchester City posted a hard-fought 1-0 victory over Brentford to jump to fifth spot in the English Premier League table on Sunday.
Goals from Pedro Neto and Enzo Fernandez earned Chelsea a 2-0 victory at lowly Burnley on Saturday, a win that moved the Blues within three points of Premier League leaders Arsenal.
Rodri only made return to competitive action in May after eight months out of action due to a ruptured anterior cruciate ligament.
Erling Haaland took his league tally this season to 11 in eight games with both goals in City's 2-0 home win over Everton -- a result that temporarily put City above Arsenal on goals scored.