If youre able to log in (anonymous or otherwise) and your issue is you can't search, the workaround is to do a web search for the app, find the play store link in your browser, and open that link with Aurora
If you're on the latest version then I'm out of ideas. I know nobody was able to sign in for a week or two because of some issues but those have been resolved for a bit now.
Updating apps has worked fine for me, but as other users pointed out the search hasn't worked. Another workaround is to sign in with a working Google account to search instead of using the anonymous accounts.
Still getting rate limited despite switching accounts multiple times, as others have said updates work ok but the store itself isn't really functional for me ATM.