Google Authentication sign up and sign in logic

Flutterflow is only providing Sign-up and sign-in logic in email ID and password options where we need to write both of them manually but when using One tap sign in with Google option or phone number verification it just doesn't work it doesn't; sync with the backend properly

let's say I don't have the [email protected] email in my database, which means it's not yet signed up I use this email to test the login interface and it still grants me access to the homepage which shouldn't happen

Instead, it should say "email is not yet registered pls sign up"

Same goes for phone number authentication but when using Email and password option which needs to be typed manually it works properly

so how can logic be set up in that case?