The hosts found themselves a goal up in the first half thanks to a thunderous strike from Bertrand Traore, but it was normal business resumed in the second period.
Paul Pogba was fouled in the penalty area in the 52nd minute before Bruno Fernandes cooly slotted home from the 12 yard spot – the 13th time he has done so this season.
A mere four minutes later and United were 2-1 up. Aaron Wan-Bissaka played the ball to Mason Greenwood on the edge of the box, who cleverly let the ball roll past Tyrone Mings before emphatically firing into the bottom right corner.
Ole Gunnar Solskajer's side defended resolutely for the remainder of the game, with Edinson Cavani yet again oozing class as he curved his run to head home Marcus Rashford's pin-point cross and bring all three points back to Manchester.
Here's what the United boss had to say when he faced the press after the game:
On his side performing better in the second half:
"You know, sometimes you just want to up the tempo a little bit. I was very confident and I thought we played okay in the first half as well. We created chances but didn't take them. They [Aston Villa] didn't create too much and Dean [Henderson] didn't have too much to do. It was a great goal by them and you can't stop those quality moments."
"It is just about being confident, believing in what we are doing and and they showed that in abundance."
On Mason Greenwood's performance:
"Mason's turn and finish was absolutely top. The boy has learnt the hard way as he's got to play so is learning on the job. The intensity of this league is very high, he had a hard game on Thursday and played today and still produces that goal so well done to him."
"There is still more to come from him, one hundred percent. The boy is still learning and is hungry to learn, his desire and attitude is improving all the time and he's got some guy to learn from as well in Edinson [Cavani]."
On Edinson Cavani's goal:
"That goal today just showed what he is capable of. I loved everything about the goal. The cross from Marcus [Rashford] and Paul [Pogba] creating the chance from driving through the midfield and not settling for 2-1 and wanting the 3-1. But Edinson is so good at timing his movement."
On his side's improvement over the season:
"We have 70 points, Champions League is assured, we are unbeaten in 25 league games away from home and have a final to look forward to. The boys are learning. They are getting better and better as a group, the spirit in the group is getting better and you can hear some players sat in the crowd supporting their teammates."
"We knew that the squad had to come together over these eight days, everybody will have to play and they have all been excellent."
On Harry Maguire's potential injury:
"Harry has been excellent and it’s almost unheard of, the minutes he’s played. His fitness is very good and he’s robust. But, today, it looked like the boy landed on him and he twisted his ankle. I don’t know how serious it is. He might be available on Tuesday, he might not."
"Hopefully that [the final] will be with Harry Maguire, I don’t know. We’ve got to check it. It might be a few weeks, might be a couple of days - who knows. I’m not a doctor and we’ve got to check him and scan him tomorrow."
What's next for United?
Ole's men next play on Tuesday evening as Brendan Rogers' Leicester City travel to Old Trafford to try and cement their position in the top four. Just two days later, United face fierce rivals Liverpool, again at home, with Jurgen Klopp's side still battling for Champions League qualification.