Just one win in seven matches between the worldwide breaks have left the Reds seventh in the Premier League table, without a win from two Champions League games and eliminated from the EFL Cup following a hugely disappointing September.
Jurgen Klopp was disappointed not to pick up all three points.
"I needed my bench, and I didn't have a bench", he said.
But just as eager for a winning performance are Liverpool who would of course like nothing more than to kick start their season and put a dent in Man United's title aspirations with a win at Anfield. "I just tried to improve in attacking areas where I could surprise them, but they kept a strong organisation in midfield".
Mourinho described the second half as a game of chess, adding: "But my opponent didn't open the door for me to win the game".
United enjoyed their best spell of the first half around the half hour, when Nemanja Matic sliced an ambitious left-footed effort just beyond the top corner, but they had goalkeeper De Gea to thank for preserving parity in the 34th minute.
While it is still too early to come to any final conclusions regarding the league table, a 10-point deficit would be a very big ask for Liverpool to overhaul considering how impressive both Manchester City and United have looked thus far. And with Liverpool unable to count on the injured Mane, their lack of confidence on the back of one win in seven games prior to this fixture suggested that United would go in for the kill. Romelu Lukaku had a good opportunity to score but he missed the chance. After pinching the ball off Coutinho's toes, Mohamed Salah thrashed the rebound wide of the left-hand post. I think Liverpool should have taken the risk to take (Georginio) Wijnaldum or (Emre) Can off.
Klopp felt his side dominated the game and felt his side should have had a penalty after Philippe Coutinho went down under pressure from Ander Herrera. Obliged to plough a lone furrow up front for United, Lukaku endured a frustrating first half and should have been booked for cleaning out Joe Gomez with a late challenge.
If it was mildly perplexing to see a side in such previously prolific goalscoring form isolate Lukaku for long periods before the break, the second period descended into a Liverpool attack versus United defence.
Neville says Mourinho must change his style of play away to the so-called "top six" to land the Premier League title in his second season in charge.