When using Google Workspace or Office 365 excluding senders from branding with Databias is quite simple. Either login to the Google Workspace Admin or Exchange admin site and modify either the rule (which points to a connector) for Office 365 or the Google Workspace Gmail Admin as per the below screenshots.
To setup routing on Microsoft 365 for email branding, you need to setup a connector and a rule in the Exchange Admin Centre and then apply it. This document takes you through the steps to do this on the management platform, first adding the connector and then the rule.