David De Gea returned between the sticks for United, with Alisson also returning in goal for the Reds whilst Mohamed Salah missed out following an ankle injury.
Both sides had a go at each other following the first 20 minutes, as Georginio Wijnaldum went close with a long range shot while Scott McTominay responded with a similar strike.
United made amends though when Marcus Rashford tapped in the opener from close range on 36 minutes following a cross from Daniel James.
Protestations from the visitors followed who signalled a foul on Divock Origi in the build-up, but the Video Assistant Referee approved the effort.
Sadio Mane thought he had levelled with a neat finish past De Gea before halftime, but the Video Assistant Referee ruled a handball in the build-up.
The two sides remained unchanged at the resumption, as the Reds searched for an equaliser in the opening set of minutes.
Liverpool introduced more firepower to aid their cause on 60 minutes with Alex Oxlade-Chamberlain replacing Origi.
Rashford nearly finished the contest with a shot from the near side of the area eight minutes later, but the final delivery failed to trouble Alisson.
Adam Lallana strengthened the middle of the park as a 71st minute substitution for the Reds with Jordan Henderson removed.
It worked wonders as Lallana pushed to the back post to side-foot into the bottom corner five minutes to fulltime after a cross from Andrew Robertson.
The Reds pushed for a late winner in the final minutes, but a point apiece is what both sides settled for in the end.