MU raised their game against them as usual. Liverpool seem better at handling the pressure than last season and got wins they'd never have last season, Villa being a prime example. Maybe the CL win gave them the confidence they didn't have last year?
The real problem is the number of games they have to play outside the league and they have no real alternative for Salah and Mané should they get injured. IMO, if the gap tightens and Klopp is forced to choose between the PL and the rest, he'll go all out for the former. I'm already suspecting that it became second on the list, if I consider their results in the group phase.