When was the last backup run? There may be a copy of it in there. Restoring it will restore everything that is no longer on the server, that may not be appropriate depending on how old the backup is.

Another option is to install FME Flow locally (don’t need a license to install it) then restore the servers backup, then add the automation to a project and export that to the server.

You could also dig into the backup file (its just a zip file with a different extension) and find the automation definition and use that to rebuild it. This is a very advanced approach and probably not worth the effort.