The main problem is Liverpool's match tactics and Bayern Munich's match tactics are completely different. This is why Sadio Mane could not adapt to the Bayern Munich team. More importantly, if the Munich management expected a lot of goals from Mane then signing Mane was a big mistake for Munich. Sadio Mane has played very well with Liverpool. Liverpool's overall performance was stable thanks to Mane's performance. But Sadio Mane did not score many goals with the Liverpool squad either. And so Bayern Munich should not expect many goals from Sadio Mane.
Apart from what you mentioned that doesn't match the tactics at Bayern Munich. That's because Sadio Mane was forced to replace Lewa, even though the two players have different playing styles and positions. For me, there was a mistake at Bayer Munchen's technical director. If they wanted to replace Lewa, why did they bring in Sadio Mane, who is clearly very different from Lewa.
The problem experienced by Sadio Mane at Bayern Munich reminds me of several players who left Liverpool but found it difficult to adapt to a new club. This didn't just happen to Sadio Mane. Because it's very rare for a Liverpool player to leave, let alone leave Liverpool with a problem that will shine at his new club, but not all. But most of them didn't shine, like Coutinho, Sadio Mane, Torres, Wilnajdum, dudek and others.