Each project has a Backup folder, however for some reason Apple decided to only create one backup every 15 minutes and have that version overwrite all previous backups. So if the data you want is more than 15 minutes old you're out of luck.
We make an app called Pro Versioner that is designed for backing up project files and will work with any application on your system, but is especially useful for apps that don't have autosave. It will save a copy every 10 minutes (this is customizable) and store them on your hard drive and you can also set it to back up to Dropbox for extra redundancy. There's a free trial here:
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www.digitalrebellion.com]
My software:
Pro Maintenance Tools - Tools to keep Final Cut Studio, Final Cut Pro X, Avid Media Composer and Adobe Premiere Pro running smoothly and fix problems when they arise
Pro Media Tools - Edit QuickTime chapters and metadata, detect gamma shifts, edit markers, watch renders and more
More tools...