Damage over insurance?

Hello forum, I had yesterday one of with unindebted accident. A car driver missed me on the motorcycle and then I fell on brakes. The opposing insurance was reported the damage. Now the injured person would like to refund me the repair costs by the insurance. Should I get involved? However, I would not want to do without compensation for the loss of use. How high is this usually, if one the The insurance also reimburses me the costs actually incurred if I can prove them. mfg, Stefan.