Welcome back to the Wefugees Community and I hope you have seen my reply in your recently opened thread?
When I understand correctly, you re-formulated your question here and describe your document now as "Finnish identity" instead of "Finnish passport". I think I mentioned this already: As we are based in Germany, we unfortunately might not be able to give too many information on rules and regulations in Finland or Kosovo. However, I assume that you will need to provide a valid travel document in order to travel to another country. For details on the marriage procedure in Kosovo and requirement documents please see, for example, the websites I linked in my last reply.
All the best,