Hi @LIT-RS ,
According to my research and test. Although there is no official documentation, if you want to manage mailboxes in Exchange online in the on-premises EAC, I think hybrid deployment is necessary.
The following are the specific steps I tested in the lab environment, hope it can help you:
1.Same as you stated, create a new AD account in Active directory Users and Computers(ADUC). then use SMTP matching to match on-premises user accounts to Office 365 user accounts for directory synchronization.
For more information you could refer to: How to use SMTP matching to match on-premises user accounts to Office 365 user accounts for directory synchronization
2.Connecting a PowerShell session to Office 365 Exchange Online. Then run the following command to get the ExchangeGUID of the Exchange online mailbox.
Get-Mailbox user | fl ExchangeGuid
3.Then runt the following commands to create the remote mailbox and set the GUID to remote mailbox in EMS in on-premises Exchange server:
Enable-RemoteMailbox <> -RemoteRoutingAddress <>
Set-RemoteMailbox <> -ExchangeGuid <>
4.Please login to EAC and check whether you could see the Exchange Online mailboxes displayed as "Office 365" mailboxes in on-premise Exchange server.
5.However, when I edit the mailbox type of Office 365 in the on-premises EAC. For example, set the city to "test1". I found that the mailbox information in Exchange online has not changed, and the object information of type "Mail user" in the contact has changed. It can be seen that the object in the on-premises EAC does not correspond to the mailbox in Exchange online, but the object in contact.
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