The Reds, who had just one shot on target, now have 11 league games remaining, the same number as second placed City, who were in League Cup final action against Chelsea on Sunday.
Herrera was initially taken off with a suspected hamstring problem and replaced by Andreas Pereira after 21 minutes, and he was followed off by Mata, who also had a hamstring injury, just moments later with Lingard coming on.
"You see PSG man-marked him, other teams probably will.I don't know if Liverpool will".
Manchester United put on a spirited display to earn a 0-0 draw with Liverpool today at Old Trafford. And then the injury crisis started.
United had to make three substitutions in the first 43 minutes alone - Ander Herrera, Juan Mata and substitute Jesse Lingard all hobbled off - while Liverpool also lost Roberto Firmino to injury in the first half.
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.More news: IS bride Shamima Begum: 'I regret speaking to the media'
Lingard was replaced by Alexis Sanchez, with many wondering why the Chilean didn't come on instead of Lingard in the first place.
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. It seemed like it was going to be a tough afternoon.
Carragher, a former Red himself, thinks the week is more important for Liverpool than the game against United.
After such a messy first half, neither side were able to truly get into their stride in a disappointing game. "It's not as bad as needing me yet, but we'll be all right".
The result edges Liverpool one point ahead of Manchester City atop the Premier League table, with both teams now having played the same amount of games.