Gmail Filter/Forwarding Caveats and Limits This also works with Google Workspace email addresses in exactly the same way. One thing it will not do is work with old messages. It only filters/forwards ...

Configure Outlook on the web (at Outlook.com) to automatically forward emails you receive to a different email address. If you want to keep copies of the forwarded messages in your Outlook account, ...

This article explains how to forward email on your Outlook account. Outlook.com can forward incoming messages to another email address (at Outlook.com or elsewhere) both in whole or in part.