Grab the latest copy of the mailbox database and transaction log files
On the restored server dismount the database you will be restoring.
Copy the newest Database and transaction logs to the restored server. (these should replace the old copy on the restored server)
Run eseutil.exe /mh e:\temp\data\exchdb.edb |findstr “state” (If this comes back with a Dirty Shutdown continue the process)
In the exchange management shell browse to the directory of the transaction logs and then run eseutil.exe /r E00 /d”e:\temp\data\exchdb.edb” where E00 is the prefix for the transaction logs
Run eseutil.exe /mh e:\temp\data\exchdb.edb |findstr “state” if it comes back clean
Run Set-MailboxDatabase DatabaseName -AllowFileRestore:$true