Heavy engine jerking at the cat start !

Heavy engine jerking at cold start ! Hello ! Heavy engine jerking at cold start, especially at temperatures well below 10 degrees ! I read in the forum that this problem can come from a defective temperature sensor or dirty, defective throttle valve. Has anyone already had experience with a defective temperature sensor ? Is meant by temperature sensor the cooling water temperature sensor ? The throttle valve has been changed already last winter, then was For some time now, the problem has already occurred again this winter, but the valve should be ok according to the workshop, have it with the engine diagnostic device ”newly learned”, whatever that means. It was then about 2 months good and now it is already there again. The engine control light lights up, then again (after x cold starts), again, one back and forth the whole thing. That doesn’t really seem to help them in the workshop any further. t directly related to the ”Kaltstart” problem. Does anyone have an idea ? MfG Jens