The Frenchman failed to make any real attacking impact on the game at Anfield, producing his only moment of quality early in the second half to set up a big chance for Zlatan Ibrahimovic.
Mourinho was happy with his side's overall display to claim a point at the home of their great rivals, but believes that his world-record signing perhaps could have done more to create openings in what proved to be a tame stalemate.
"Had it been 1-0, it would have been finished," Mourinho told Sky Sports News. "Where Pogba was playing, I was expecting more penetration.
"Defensively we did really well, we should have had a little bit more. We had a big chance that I thought Zlatan was going to score."
United recorded just 35% possession against Liverpool - the lowest registered by the Red Devils in over a decade.