Drives to the Tüv WITHOUT registration – once again

Hi, I know it’s often asked, but I have a further question that could not answer the search function. What I know: When a car is logged out, no valid HU/AU has left, so I can’t allow it anymore, I can drive my old license plates and an insurance double card to the Tüv/authorization point. Now two more problems: 1. I have done some repairs on the car during the service life, among other things on the steering gear, the track Can I make a detour on the way to the Tüv via a workshop/tire service? 2. I have installed another engine (not identical to the same engine). I don’t have a valid type-approval for my car (I suppose?). Is this necessary to make trips without registration? Otherwise, I have no choice but to get a short-term registration mark. I wanted to avoid this because of the bones.