When engine warm then it starts badly

Hello guys, I already tried to solve my problem with the search function but that wasn’t the case. Have an Audi 90 Type89 Quattro with engine NG 100KW/136PS. Have the car only for 2 weeks and somehow there is something wrong with the engine, I explain: So engine starts great and runs well from idle (stops without saws). If I then warmed up the engine and turn off for example to go shopping and start after shopping he does the following: He starts and goes there nn at idle speed of about:500 revolutions and stutters around as if he wants to go out immediately. If I then give gas stutters he slowly up and he notices/hears right how he has in the engine room in front like such misignitions. If he is then tormented a little with the accelerator then he runs. What I have noticed is that he doesn’t really run well, I think every 1.8 with 90hp cooks me off. And from time to time he just stays “hanging” under the speed. So then you’re so on It’s like a big ass. Somehow he’s bubbling out of the exhaust even though the ESD is new. Oh yes, I wouldn’t have gotten the Lambda value because it was too high. Since it was standing some time before I bought it I’ve renewed the spark plugs, oil and the 4 pole temperature generator for engine control unit (display in the combo didn’t work). Does anyone know the problem and can tell me how to solve it???? Thank you guys and wish you a happy New Year here. MfG Sebastian