Hi @Rising Flight ,
Actually you can't modify the remote mailboxes permission from the on-prem EMS. It's located in the cloud and you could only use Exchange Online Powershell to modify it(also online Admin Center).
You may receive a error said object not found on DC if you gonna try to run Add-MailboxPermission. And also there are no cmdlets like Add-RemoteMailboxPermission.
You could find all cmdlets here: https://learn.microsoft.com/en-us/powershell/module/exchange/?view=exchange-ps
Found a case that may help: https://www.reddit.com/r/PowerShell/comments/95wvgz/setting_delegation_permissions_in_hybrid/
Please Note: Since the web site is not hosted by Microsoft, the link may change without notice. Microsoft does not guarantee the accuracy of this information..
Best regards,
Lou
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