Robin van Persie tucked home the opening goal against Liverpool in clinical fashion.
Real Madrid boss Jose Mourinho was in attendance at Old Trafford.
Patrice Evra played his part in United's ultimately decisive second goal.
Daniel Sturridge came off the bench to notch and spark hope of a Reds revival.
James Milner thundered home to give Manchester City the lead at Arsenal.
Koscielny brought down Dzeko for an early penalty and red card.
Edin Dzeko grabbed City's second as he tapped in from close range.
Vincent Kompany saw red for his challenge on Jack Wilshere.