Hi @stepasdfas ??
Thanks for reporting this issue here in the forums. Sorry to see that the your taxonomy filters in the homepage are not working. Upon inspecting your website, I was able to see the issue myself. Upon selecting various filter values, the products were not being filtered, they were only getting done upon refreshing the page.
Since this issue is connected to the Elementor plugin, I would request that you reach out to their own support forums about the same.
Meanwhile, I would try updating all plugins (Elementor, WooCommerce etc) to their latest versions, and try a conflict test (Deactivate all plugins except Elementor and WooCommerce, then test. Reactivate one by one to find conflicts) to see if that fixes the issue. I also noticed that your site is cached. I would also try clearing all caches (plugin, server, and browser). You also might want to exclude the filter page from caching, and then try checking if that fixes the issue.
I hope that guides you in the right direction!