Niko Kovac’s side came from behind twice in the Bundesliga fixture on Friday night, with David Alaba scoring a 53rd-minute winner after Kingsley Coman’s brace.
Neuer had missed Bayern’s previous two league matches with a hand problem but provided a boost by playing the whole game at WWK Arena.
The Reds host the German outfit in the Champions League last 16 on Tuesday night and travel to Allianz Arena for the second leg next month.