Login to different domain and subdomains and Profile Management, ruby on rails and postgressql.

Good I wish a system that the login when starting session also starts session in different domain and subdomain that I have
example
something similar to google
login to accounts.google.com also login to youtub.ecom play.google.com duo.google.com etc

Other than this I need Profile Management which has Password Update, Two Factor Authentication and Browser Sessions.
Profile management is a separate system.

The login and registration goes to auth.example.com
Profile management goes to account.example.com