To avoid this warning message in the backup report, hide the disabled users from the Exchange Address List:
For Exchange Server 2003:
1. Open “Active Directory Users and Computers.”
2. Find the disabled users, right-click, and select ‘Properties’ for each disabled user.
3. Click on the ‘Exchange Advanced’ tab and check the checkbox for the option ‘Hide from Exchange Address Lists.’
4. Click ‘Apply’ and then click ‘OK.’
For Exchange Server 2007/2010/2013:
1. Open “Exchange Management Console/Exchange Control Panel.”
2. Go to “… -> Recipient Configuration -> Mailbox” to view all the mailboxes.
3. Locate the disabled user mailbox, right-click, and choose ‘Properties.’
4. In the “General” tab, check the checkbox against ‘Hide from Exchange address lists.’
5. Click ‘Apply’ and then click ‘OK.’
Hide the archived mailbox user from the Exchange address list by following the steps mentioned in solution 2.
Now, schedule the Exchange Mailbox backup once and check if no warning messages are logged in the backup report. If the same warning message recurs in the backup report, search if any more user accounts are disabled in ADUC and follow the above procedure to hide them from Global Exchange address lists.