The dynasty will only be built on European success, though, and after the quarter-final exit to Liverpool, Manchester City's owners, who want a gilded continental powerhouse to match United's global lustre, will demand it and back those demands with huge funding.
A round-up of Wednesday's action in the UEFA Champions League.
Bayern Munich midfielder Thiago Alcantara will be out of action until early November after having surgery on Monday for damaged ligaments, the club said.
Manchester City returned to the top of the Premier League on goal difference after coming from behind to draw 1-1 with Southampton at the Etihad Stadium on Sunday.
Sunderland manager David Moyes says he is under pressure to turn around their poor Premier League form, but it is no different for coaches at the other end of the table.
Free from the extra burden of European football, Liverpool have a strong chance to win the Premier League this season under a "ruthless" Juergen Klopp, according to Bayern Munich striker Robert Lewandowski. Liverpool, who finished eighth in the league standings last season, are fourth in the table this campaign, having beaten Arsenal, Chelsea and champions Leicester City in their opening seven games.
Manchester City continued their imperious stranglehold over the League Cup with a 2-1 victory over Aston Villa with goals from Sergio Aguero and Rodri in the final at Wembley on Sunday to win the trophy for a third straight season. City became the first side to win the competition three seasons in a row since Liverpool claimed four straight titles from 1981 to 1984.
ManchesterCity could be without playmaker David Silva for Saturday's home game against Bournemouth while midfielder Ilkay Guendogan may make his Premier League debut.
Juan Mata swept home to steer Manchester United into the League Cup quarter-finals with a 1-0 win over holders and bitter local rivals Manchester City on Wednesday as Jose Mourinho got one over old adversary Pep Guardiola.
Jota's header earned the three points but it was a struggle in the rain for Juergen Klopp's side who looked uneasy at the back without the injured Virgil van Dijk.
Yaya Toure has been left out of Manchester City's Champions League squad by coach Pep Guardiola, further undermining the Ivorian's position at the club. Toure, a mainstay of the City midfield since joining from Guardiola's Barcelona in 2010, has failed to start any of the club's opening three Premier League matches. He has only played once this season, in the second leg of the Champions League playoff tie against Steaua Bucharest, when they already had a 5-0 lead from the first encounter.
"The best team won, we struggled from the beginning and we couldn't deal with their long balls. Usually, you press the ball to win it, but this was different. They defended so deep and so well," City coach Pep Guardiola told the BBC.
For the only eighth time in Premier League history, the title will be decided on the final day
All players in EPL had "Black Lives Matter" on their shirts instead of their names in the opening round of games and they have continued to take a knee before kick-off in support of BLM.
Manchester City have signed England centre back John Stones from Everton as new manager Pep Guardiola continues to reshape his side for the start of the English Premier League season.
Reactions to Liverpool's Premier League triumph, their first league title since 1990:
Bayern Munich eased into the German Cup semi-finals with a 3-0 victory over 10-man VfL Bochum on Wednesday with Robert Lewandowski scoring twice to keep their treble hopes on track.
Manchester United manager Louis van Gaal has hinted the club may be pursuing Real Madrid's Spain defender Sergio Ramos and could also sign a "surprise" striker.
Manchester City survived a stirring Leicester City fightback to claim a 2-1 win that lifted them above Liverpool into third in the Premier League on Saturday.
Images from Saturday's action in the English Premier League.
News of all that's transpired on and off the football field
Champions Liverpool are five points clear at the top of the Premier League after a 7-0 away hammering of Crystal Palace while Arsenal's troubles continued with a 2-1 defeat at second-placed Everton on Saturday.
New Manchester City manager Pep Guardiola has come to England to prove himself and wants to produce the "beautiful football" for which his teams are famed, he told reporters on Friday. Speaking at his first news conference since joining the club, the former Barcelona and Bayern Munich coach said his personal learning curve would be steep as he came to terms with his new team and adapted to the rigours of the Premier League. "It's the right moment to come here and prove myself," he said. Asked if he could get City to play the sort of beautiful football trademarked by Barcelona, he added. "That's why I am here. I want to play the way I want. But wherever you go you have to adapt to the quality of the players. We have to find each other as soon as possible.
A round-up of Tuesday's action in the UEFA Champions League.
Bayern Munich coach Pep Guardiola set a Bundesliga record after needing only 61 matches for his 50th league win when the champions beat Borussia Dortmund 1-0 on Saturday to march towards the title.
Manchester City blew a two-goal lead and had Ederson sent off in a dramatic 3-2 defeat at Wolves on Friday.
Claudio Ranieri will not have to wait long for another job following his sacking by Leicester City, Manchester City manager Pep Guardiola said on Tuesday.
ManchesterCity's Premier League title challenge derailed once the club announced Pep Guardiola would take charge from next season, outgoing manager Manuel Pellegrini has said.
Manchester City manager Pep Guardiola has done little to quell the uncertainty surrounding Sergio Aguero's future at the club, saying that he is unsure where the mercurial Argentine striker would be plying his trade next season.
PSG make winning start as Messi arrival looms
Images from EPL matches played on Wednesday.
Images from the English Premier League matches played on Sunday night
Liverpool frustrated as they were forced to settle for a 1-1 draw at Brighton on Saturday
Premier League leaders Liverpool suffered 12 separate injuries this season to players that took part in last year's World Cup in Russia, compared to 27 for title rivals Manchester City, according to a report published on Wednesday.
Toure criticises players for accepting lure of China cash
In the 69th minute, the Argentine slid in to meet a cross from Sterling and, although it appeared Mings got the final touch for an own goal -- ultimately, a decision for the dubious goals committee -- no-one was going to persuade Aguero that he was not responsible for putting City two up.
Substitute Moussa Dembele scored twice as Olympique Lyonnais stunned Manchester City on Saturday to move into the semi-finals of the UEFA Champions League.
Barca won their fifth European Cup in 2015 and the signs of decline have been evident over the past five years since -- but no-one envisaged a fall as great as this.
Juventus were given a chance to avenge last year's Champions League final defeat by Real Madrid when they two sides were drawn together for the quarter-finals of this year's competition on Friday.
Robert Lewandowski struck twice to steer champions Bayern Munich to a 2-1 win at Hamburg SV on Friday that stretched their lead at the top to 11 points as the Bundesliga resumed following a one-month winter break.