Google does not always allow the Google login screen. You can use an app specific password as an alternative to the Google Login screen. This is described here:
https://support.google.com/accounts/answer/185833?hl=en

1) Turn off "Use 2-step Verification" in the PrintCentral Pro edit email account screen - Settings section.

2) Copy and paste the new app password from the Google App Password web page into the edit account screen settings section, inside our app.
https://myaccount.google.com/apppasswords