The Google singin for Language reactor fails, even the alternative method.
The problem is either the Orion ad blocker or the cross-side tracking prevention.
You can’t deactivate neither fully on iPad Orion.
With the iPadOS Safari there is no problem with signing in to Language Reactor, but unfortunately until now there is no extension for iPadOS.
In the meanwhile you could use Readlang to watch Youtube Videos with iPadOS Safari (but don’t forget to deactivate cross-side tracking in the iPadOS Safari settings or your Google login will fail).