Hi @Francesco Russo ,
Based on your description, I would like to explain that the default behavior usually saves sent emails to the Sent Items folder of the person who sent the email, but it can be set to save the sent emails to the Sent Items folder of the delegated mailbox.
I suggest that you can try the command in the following format in the Exchange Online Management Shell to modify the location where sent messages are saved:
- For Send As
Set-Mailbox -Identity "delegatedmailbox" -MessageCopyForSentAsEnabled $True
- For Send on Behalf
Set-Mailbox -Identity "delegatedmailbox" -MessageCopyForSendOnBehalfEnabled $True
For drafts, however, Outlook typically saves the draft in the primary account's Drafts folder, not the mailbox you are acting as a delegate for. Unfortunately, there isn't a server-side setting to change the behavior for draft items as of now.