Sadio Mane will probably really go to Bayern and he would also fit well in there team. There are even rumors that Bayern want to sign Cristiano but I can't imagine that. Lewa's departure will weaken Bayern a bit and they need a good replacement for him. Very exciting!
In this case I actually still hope that he still wants to extend his contract with Liverpool no matter what. but if indeed he still decides to go is actually a good fit or not he might be looking for something definite. At least when he is there the league title is definitely won there but maybe this will affect his popularity because even if he was good at Bayern, it will not be too visible because the opponents they face there are still not comparable.