Headlight Cleaning System

Hello everyone!

First of all, a big compliment. I signed up about two months ago and have been reading diligently, and I must say I've learned a lot of useful things.
Okay, I'm having a small problem now. I bought an original headlight cleaning kit and xenon headlights from Hella for an American friend for his Golf (IV). When I was with him, we were able to install the xenon headlights without any problems. Also, installing the cleaning system wasn't a problem either. Now, how can I connect the headlight cleaning system to the original wiring harness in the most elegant way? The connectors don't fit; are there any adapters available? We didn't want to cut anything. I checked at home in my TDI (which originally had xenon headlights – something I'll never do again!), and I noticed that the connectors and wiring are quite different in the front.
I would really appreciate it if someone could tell me about an adapter or something similar.
I've also searched on AKTE and found the corresponding connector for the original VW plug in the AMI Golf system to create an adapter. However, I can't find the counterpart for the Hella connector.
Well, otherwise he'll just be taken apart.
Thank you in advance, Matthias.