I don’t really think Chelsea playing without a manager would have any influence on this game against Liverpool. Both side aren’t in a good form at the moment, Liverpool have struggled this season and come into the game off the back of three consecutive defeats in all competitions, so I don’t expect Liverpool to easily blow away Chelsea even with their poor form. The interim coach will make some adjustments to the side and initial his own tactics to win this game. A draw is likely possible in this game.
There will be no difference whether Chelsea plays with a manager or without a manager in their game against Liverpool. They are still going to struggle to get goals. In fact I do not expect much from both teams because presently they are playing terrible in the league. Honestly, both teams just want to get to the end of the season without any issues. In their heads, I can imagine them praying that the season should be over quickly so that they can start on a blank slate next season. Sorry for sounding sort of pessimistic but this is just the reality on ground.