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You can use your Ukrainian passport as proof of your last registered address, if you didn't use it as proof of ID.
https://www.freelancer.com/support/employer/Payments/what-is-required-to-become-verified

I think the best solution is to contact Freelancer Support team and tell them the issue you are facing. You can contact them at support@freelnacer.com and I'm sure they'll get back soon with a viable solution.

Good luck!

When I needed a verification I contacted freelancer support, sent them my image where I was holding my id + certain number they gave me and that's it! They verified it.

With the Passport of their country will not pass. Automatic System verification and supports - international passport (Ukrainian blue colors are not in the system) or a Plastic driver's license of international standard

I was in the same predicament. What I did was I had my bank issue a bank certification (for a small fee) with my address on it and submitted the document to Freelancer. They accepted it.