We do not recommend messaging that may indicate the existence/non-existence of a user account (e.g. Login with your Google account), as this could introduce user enumeration risk:
https://www.owasp.org/index.php/Testing_for_User_Enumeration_and_Guessable_User_Account_(OWASP-AT-002)
You could try using a generic message regardless of existence/idP, e.g.
An email has been sent to you if your
user account exists. If you do not
receive an email, please ensure you
are logging in with the same method as
you signed up (Google, Facebook,
Email).