The Old Trafford crowd thought Matip had put the hosts in front with an own goal, but Chris Smalling was rightly flagged for offside following Luke Shaw's free-kick, in a bit let-off for an off-colour Liverpool.
United had three players leave the field with hamstring injuries before the interval and Rashford had to play on until the end, showing some signs of discomfort.
However, Liverpool has only won three of its last nine games in all competitions - a run that started with the 2-1 loss at City on January 3.
Herrera's countryman Mata came off in heroic circumstances, having raced all the way to United's penalty area to rob Salah of the ball, before collapsing to the ground - making way for Jesse Lingard. We started really well, exactly like we wanted.
But, once the action started, it became more about the four substitutions - three for United, one for Liverpool - that were forced on the respective managers over the first 45 minutes.
Salah is joint top scorer in the Premier League this season with 17 goals, but has often appeared miserable after scoring.
"Some days United are beatable".
Winter storm bringing 'widespread hazardous weather' stretching from Midwest to Northeast
Limited precipitation is expected in the metro until Friday evening with light rain or drizzle is expected to develop. Despite the passage of a frontal boundary late Wednesday night, Thursday will be a very warm day.
Lingard had the best chance of the half when he was found in the box by Romelu Lukaku with a perfectly threaded pass but Liverpool keeper Alisson Becker was quickly out to foil the England attacker's attempt to round him.
James Milner admitted they weren't good enough today but did highlight one pleasing thing.
- David de Gea kept his 100th clean sheet in the Premier League; the seventh goalkeeper to do so for a single club and the second for Manchester United after Peter Schmeichel (112).
"I don't like to think too much about the games coming up usually, but it's pretty much the first moment in the season for while that we could make a decision with Millie and we will need Trent in the next weeks very much".
The 21-year-old's natural role is at centre-forward, but he has been used on both wings at various times in the United first-team.
"We didn't play a lot of wonderful balls in the final third".
With his menacing glances, thunderous moods, and scathing tongue, he's not someone you want to get on the wrong side of.