I'm sure that money was a maximum in second place for Mane. Judging by his interview, he has huge ambitions and he (in my opinion, quite rightly) believes that he will be able to realize them in the best way in Bavaria, after all, in Liverpool, thanks to team features and Salah, he was not the first violin. And I heard that he spends a lot on charity, this is another confirmation that money is not the main thing for him.
There is a possibility that he needs a title, especially the Champions League so he can try it through Bayern Munich you can imagine how he felt when he failed to become a champion in the final even though he has made every effort with all his abilities. In addition maybe he needs a new challenge, for 6 years Mane with Liverpool while he will retire in less than 5 years so this season is the right time for him to move.
If we talk about the chances for the Champions League title, then in my opinion now Bayern and Liverpool are on an equal footing. But at least he will get the title of German champion plus now he is at a good age for a radical change, in the future the transition to a stronger club will be more difficult to implement due to age. I will look with great interest at his performance - whether he can approach or even surpass the results of Lewandowski.