If you don't have another backup of the machine and the file has been deleted then I guess the only thing that might work is some disk recovery tool. When a file is deleted they're usually just marked as deleted until other data overwrites its sectors on the disk. Until that happens you may have a chance of recovering the file.
Here's one, but there's loads more out there: Free Mac Data Recovery Software. Recover Files. Disk Drill
Not wanting to sound like I told you so, but I'd run a separate backup of any server. Preferably off-site.
I hope things work out.