Luis Suarez's brace and Daniel Agger's header in the first 27 minutes was enough to secure a comfortable victory.
Reds boss Rodgers missed the game after being taken ill in London, with back-up goalkeeper Brad Jones and head of performance Glen Driscoll also sent home with the bug.
Pascoe and coach Mike Marsh deputised at Loftus Road, although the former was poorly himself.
Pascoe was not allowed into the changing room in case he infected the team, so Marsh relayed his notes to the players.
"He phoned me at eight o'clock," he said of Rodgers. "I wasn't feeling very well myself, but he's worse than me.
"He was very, very white and he woke up not very well.
"The way the medical team and the doctors tried to isolate the players and the staff, they've been fantastic. Hopefully they'll have nipped it in the bud and not too many will be affected by it.
"Brendan picked the team. All the preparation for the game was all done. The presentations that we do to the players, that was all set. But unfortunately Brendan woke up and wasn't very well.
"I did the presentations, but the presentations and everything running up to it was the manager."