Glossary
External auto-forwarding
A mailbox setting or filter that automatically copies incoming mail to an address outside the organization.
External auto-forwarding sends a copy of incoming mail to an address outside the organization. In Gmail it can be set for all mail (auto-forwarding setting) or only for matching mail (a filter with a forward action). The destination must first be verified. Enabling it for an out-of-domain address is logged as email_forwarding_out_of_domain, with the destination.
For attackers it is persistence: they keep reading after losing the session. Admins can disable automatic forwarding for users in the Gmail End User Access settings. MITRE: T1114.003.