Liverpool can decide to keep Mane in the club by trying to offer him a better contract in terms of salary and all, but one thing i know is that they aren't rejecting Bayern's offers for no reason or because they want to block the transfer, the offer Bayern is bringing to the table is well below the worth of the player in question, not to talk of some of the embarrassing add-ons they have included in it, there is no way Liverpool were going to accept that, and i am pretty sure Bayern very well know that. If Bayern are serious about signing Mane, they better make a much more sensible offer, i think they are doing this on purpose cause the player has already decided to leave Liverpool, and is willing to join them, so they feel the odds of getting him is in their favor, but really Bayern should add some money to their initial offer and get this transfer over the line before another team steals Mane from under their noses'.
I think it's just an element of bargaining and Bayern Munich is just trying to bring down the price for the player a little bit. In any case, I believe that the current price will not be limited and Bavaria will increase its offer. As far as I understand, I have already been seriously set up for a transfer and it seems that Liverpool does not intend to prevent this. Now it remains only to discuss the price of the issue, which is acceptable to both sides.