The result leaves Ole Gunnar Solskjaer's United in 10th with nine points, their worst start after seven games for 30 years, and they have won just one of their last six league games.
A night of wholesale team changes for the 11 Premier League sides in action produced one notable upset with top flight Stoke City losing 2-0 at second-tier Bristol City.
Julio Baptista scored three times as Arsenal stormed back to draw 2-2 with north London rivals Tottenham Hotspur in a frenetic first leg of their League Cup semi-final at White Hart Lane on Wednesday.
Arsenal's Jack Wilshere and Kieran Gibbs are doubtful for the Champions League Group F trip to last season's runners-up Borussia Dortmund with coach Arsene Wenger eager to make amends for last month's loss to the Germans.
Chelsea moved two points clear at the top of the Premier League with a 2-0 defeat of Liverpool at Stamford Bridge on Sunday.
Juergen Klopp refused to rule out Liverpool as Premier League title contenders on Wednesday after ending the year level on points with Manchester United and nine behind leaders Arsenal.
Images from the English Premier League matches played on Saturday
Daniel Sturridge's third goal in as many matches gave Liverpool a 1-0 win over bitter rivals Manchester United in a feisty Premier League match at Anfield on Sunday.
Watford climbed into the top four of the Premier League after Tom Cleverley's 92nd-minute goal gave them a 2-1 victory over Arsenal at Vicarage Road on Saturday.
Arsenal will begin their quest to become the first team in modern times to win the FA Cup three years running with a home tie against fellow Premier League side Sunderland in January.
Nicolas Anelka scored twice against his old club to help Bolton Wanderers beat Arsenal 3-1 to climb to third in the Premier League on Saturday.
Tottenham Hotspur fluffed their last-day lines with a 5-1 defeat at relegated, 10-man Newcastle United that left them third in the Premier League behind bitter north London rivals Arsenal.
Liverpool's Mohamed Salah ended his Premier League goal drought in style by scoring twice as the champions raided the capital again to crush West Ham United 3-1 on Sunday.
Images from the English Premier League matches on Saturday.
Arsenal laboured to their second win of the season with a highly-charged 1-0 victory against 10-man Newcastle United at St James' Park on Saturday.
A round-up of Saturday's action in the Premier League.
Chelsea and Liverpool maintained their unbeaten starts to the season and kept the pressure on early pace-setters Arsenal when they both chalked up 2-0 away wins in the Premier League on Saturday.
Images from the English Premier League matches played on Tuesday.
Arsenal missed the chance to heighten the congestion at the top of the Premier League and suffered fresh injury blows when a frustrating 1-1 draw at Norwich City failed to take them alongside leaders Manchester City and Leicester City on Sunday.
Arsenal and Galatasaray are facing disciplinary action after supporters of the Turkish club lit red flares and threw them onto the pitch, briefly holding up play, in their Champions League group match on Wednesday.
Liverpool's wide range of goalscorers this season is a direct result of their attacking style, according to manager Juergen Klopp.
Premier League leaders Liverpool stumbled again at home on Saturday, needing two Steven Gerrard goals to salvage a point in a 2-2 draw with Hull City.
Midfielder Jordan Henderson's fluke second-half goal kept Liverpool firmly in contention.
City have 89 points, one more than rivals Liverpool, with both teams having three games to play -- and none of them against top six opponents.
Liverpool are determined to end the trend of selling their best players during the close season in order to build a squad capable of consistently challenging for major honours, manager Juergen Klopp said.
Leicester City stumbled on their march towards the Premier League title when they drew 2-2 with West Ham United and had goalscorer Jamie Vardy sent off at the King Power Stadium on Sunday.
Liverpool flirted with what would have been an embarrassing low in their poor start to the season as they were taken to penalties by fourth tier Carlisle United, but came through to reach the League Cup fourth round on Wednesday.
Manager Roy Hodgson has hinted that Liverpool are unlikely to mount a Premier League title challenge this season.
A round-up of the weekend's action in the major European leagues.
In another match in the English Premiership, Manchester United finished with nine men in a 0-1 defeat to Everton.
Manchester United beat Bolton Wanderers 2-1 to go three points clear in the premier league.
Manchester United climbed two places up to second in the Premier League after Marcus Rashford scored deep into stoppage time to give them a fortuitous 1-0 home win over Wolverhampton Wanderers on Tuesday.
Mario Balotelli will return to Liverpool's squad for the festive programme but manager Brendan Rodgers was hardly effusive in his praise of the Italy's striker's credentials.
Liverpool will start favourites but PSV Eindhoven coach Ronald Koeman will fancy another English scalp when the Dutch club host the first leg of their Champions League quarter-final on Tuesday.
Arsenal will host Newcastle United in the outstanding League Cup third-round tie after the draw was made on Saturday.
The four-times European champions went through 3-2 on aggregate after losing 0-1 in the second leg Champions League quarter-final.
Ryan Giggs scored both times for Manchester United; Harry Kewell pulled one back for Liverpool.
Steven Gerrard was again Liverpool's saviour on Sunday as the inspirational captain secured a 1-1 draw with Everton in the Merseyside rivals' fourth-round FA Cup tie at Anfield. Gerrard struck nine minutes after halftime to cancel Joleon Lescott's first-half header as the game finished with the same score as their Premier League meeting on the same ground last Monday.
Images from Sunday's action in the Premier League.