Warmstart Audi 80 (NG) no longer wants

Hello people! I am at the end with my sparse experiences and therefore ask for advice on my problem. It is the car of a very good acquaintance. Problem case: Audi 80 NG 5-cylinder engine – warm start. If the engine is cold starts immediately and runs round. After about 10 minutes of operation at the stand, or about 5 minutes drive is no longer possible restart. But if I close the (upper) temperature generator (2 – pole) at the engine block connection before the cooler hose briefly then jump d ie car. A change of the feeler did not bring any improvement. The ohm value decreases in the warm state. I have already found a lot from the forum and did these tests: 1.) When the engine runs I can plug off the pressure regulator and the engine runs almost normally – no death. 2.) But if I take off the engine oil cover the box also runs further. 3.) Cold start valve for test times with warm engine. But don’t jump on. 4.) At the CO screw I only want to unimpaired. The previous story: A screwdriver has changed the air filter and since then the error has been. The screwdriver is not so much knowledgeable with the thing … Another acquaintance has let his colleague run with the diagnostic device to the box and he has read the error with the temperature sensor. Unfortunately, the Latin of the screwdriver is now also at the end … Another acquaintance has given me the tip with the throttle valve. Where is this part sitting? Would you like to try his test, that I can hold the hose, which goes to the quantity distributor (?!) sometimes, because his guess goes towards the throttle valve, that it is always open…?! Would be a hit if I could get a picture info. I found a picture of the engine here: Motor greeting and thanks from the Salzburger Land Peter