Hi @Alex GER_146 ,
According to your description, I know that there are two main issues in your environment:
- O365 mailboxes cannot display in on-premise server. To help you better, may I ask whether the O365 mailboxes are directly created in Exchange Online or moved to Exchange online? If they are directly created in Exchange online, it's a normal behavior that they didn’t display in EAC of on-premise server.
- Mail flow issue: the mails cannot be sent from on-premises to O365. What error you get when sending the emails? Could you please provide the NDR information? Generally, when we run the HCW step by step, it would show two pages, one is Receive Connector Configuration which allow you to select the Exchange server to receive emails from Microsoft 365, and another one is the Send Connector page would allow you to select the Exchange server to send emails to Exchange Online. Please double check if you have changed these connectors. And if possible, you could also re-run the HCW to reload and see if the issue can be resolved.
If you have any questions, please feel free to contact me.