I suspect you wanted to writer "former" coach instead of "formal" coach, but anyway, expecting ten Hag to do better than the former coach, namely Xabi Alonso, is utter nonsense.
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Xabi Alonso has set such high standards that I think it will be quite difficult for Erik ten Hag to keep up or even surpass him. and coupled with the pressure from management and fans who expect instant results, along with the lack of stability in Erik ten Hag's current squad, will make it increasingly difficult for him to compete in the Bundesliga. Erik ten Hag is now in a very complicated situation, and I don't think he can deliver the maximum result this season, given the team's condition and the very limited adaptation time. chances are he will struggle too, just like what he experienced when he coached Man united.
I don't think it's possible for Ten Hag to do better than Alonso at Bayern Leverkusen, based on Ten Hag's recent poor record at Manchester United. There are certain things Alonso has done for Leverkusen that will be very hard for Ten Hag to break. One record Ten Hag can't come close to is winning the Bundesliga unbeaten. I don't think Ten Hag could do that in the Bundesliga. I won’t say anything bad about Ten Hag because he has had a good record at Ajax, but I did not totally see him as a poor manager. Even if Ten Hag were to do better at Leverkusen, he would have to reset the team, because currently, I am not satisfied that Ten Hag could do better with Leverkusen's current squad. But let's wait and see what happens when the season get started.