In order to create a backup of the CoreMedia Search Engine you have to do two things in the following order:

If you plan to back up the Content Server database at the same time, make sure to take the backup of the Content Server after backing up Feeder state and Solr index. This is important for restoring backups: The restored Content Server database must not be older because CAE Feeder database and Content Feeder Solr index store timestamps from the Content Server. These timestamps must exist in the Content Server to successfully start a Feeder after restoring a backup.