Jurgen Klopp's side were held to a goalless draw by Man United at Anfield in England's top flight back in December, before the two teams played out a 2-2 draw at Old Trafford on Sunday.
Luis Diaz sent Liverpool ahead in the 23rd minute of Sunday's game, before Man United turned the match around to lead 2-1 in the second period, with Bruno Fernandes and then Kobbie Mainoo on the scoresheet.
However, Mohamed Salah scored an 83rd-minute penalty in Manchester, as the points were shared.
Liverpool have managed 62 shots in their two Premier League games against Man United this season, with 34 of those coming at Anfield and 28 at Old Trafford.
No team has had more against a single opponent in a campaign on record — from 2003-04 — but Liverpool were forced to settle for a point in their two league fixtures with Man United this term.
Liverpool were unable to return to the top of the Premier League table on Sunday, with the Reds instead sitting second, behind leaders Arsenal on goal difference.
The Merseyside outfit's head coach Klopp insisted that his side «should have won the game» against Man United, but the German accepted the point at Old Trafford.
«We should have won the game, that is clear. We should have had other goals in the first half already. No shots in the first half and 1-0 is the lowest we could expect,» he told Sky Sports News.
«Really well done from Bruno. Then the stadium is coming and we needed a few minutes to settle again and they scored another screamer. We had big chances before and after they scored.
Liverpool's title hopes take a minor Read on sportsmole.co.uk