Hi Rudi.
It's incredible what TDIs can 'come up with.'
To investigate the cold start problem, I believe that a diagnostic test drive (or several) using VAGCOM would be the best approach.
Unfortunately, the problem

doesn't occur in a predictable way.
The jerking and thumping could, in my opinion, be caused by relay 109 or the NBF. Have you checked them before?
Hello Ulf,
We've already performed a test run using VAGCOM, and everything is okay.
I will definitely replace relay 109.
I'll get back to you if it helps.
THANK YOU for your tip.
Rudi.