Here is a quick tip on how to move a few or a couple of hundred Offline address books with the Exchange Management Shell (EMS) by running a single command:
If you had to use the Exchange Management Console (EMC), it will take you quite a while to do but with PowerShell you can run it and leave it as it will need to copy all the files across.
Here is the command:
- Get-OfflineAddressBook -Server mbx1| Move-OfflineAddressBook -Server mbx2 -Confirm:$all

Replace MBX1 and MBX2 with your server names.
Depending on the number of OAB’s you need to move, this can take a little while so sit back and enjoy a cup of coffee.
Hope it helps.