Death, what to do?

Hello, my father died a short time ago. In our house there are two vehicles. Both are still registered to my father and insured as first and second vehicles. The first vehicle was driven exclusively by my father, the second vehicle my mother and me. Now we want/must register the vehicles on my mother and insure them. My father had reached the damage-free class 14, i.e. 40% in the first vehicle and in the second vehicle 7, i.e. 60% in the second vehicle. r assumes that my mother can take over these percentages completely… However, my mother has only had her driver’s license since the end of 1998 and the insurance now wants to classify the first car with 50% damage-free class 7. The second car should keep its damage-free class. Isn’t there a way to take over the full percent of my father? Furthermore, it is important for the insurance of how long the vehicle is registered on the driver. if the vehicle has to be rewritten, is it for the insurance as if my mother had only owned the vehicle today and the contribution is accordingly higher. Is there a way of making the insurance clear that the vehicle is family owned and not just recently acquired?