Ola Hallengren with database mirroring

I recommend that you have the jobs enabled and scheduled on both servers and with the same configurations. Databases that are in a mirror role will automatically be skipped. There are checks for that in the script.

For now just run it on the Primary database server.

When you do a failover, you can run it on the mirrored server.

e.g when you deploy it on mirrored server, you (refer to: http://ola.hallengren.com/sql-server-backup.html)

EXECUTE dbo.DatabaseBackup
@Databases = 'SYSTEM_DATABASES', -- when failover, change it to ALL
@Directory = 'C:\Backup',
@BackupType = 'LOG',
@Verify = 'Y',
@ChangeBackupType = 'Y',
@CleanupTime = 24