Recognize user who has signed up with Google but tries to sign in with email in AWS Cognito

Question

I'm using AWS Cognito Federated Identities to enable social login with Google in a web app.

Attempts:

1. User (with email [email protected]) signin/signup by Google
2. User login by email [email protected]

Normal behavior: In the 2nd attempt, user will get an error UserNotFoundException

Expected response: my web will inform user, that he should login by google