Hi @jayne4-cunningham. Thanks a lot for your answer and advice.
Unfortunately it doesn't work. It was one of the first things I checked while struggling with the browser. It was obvious for me, but thank you very much for your effort 😍 it was very nice 🤗
Now I temporarily solved the problem.
I uninstalled Opera on a new computer and reinstalled it from scratch. I didn't enable synchronization on the new Opera. I imported bookmarks from an html file. I imported passwords from a csv file.Opera started remembering cookies and passwords.
However, after turning on the synchronization, the problem with cookies and passwords repeated - Opera didn't save them again.
So I re-installed it and didn't turn on sync anymore.
Now it works, but when I working on another device, I've to export bookmarks and passwords manually, to work with the current settings.
So I'm not satisfied with this solution, but for now I have no other choice. I'm still looking for a solution and ideas, but so far nothing helps.
If anyone knows what the problem is, I'd greatly appreciate the help.
@jayne4-cunningham once again many thanks. 🤝