This explains a bit. As for how its installed. This is how the iOS system works. All applications from the Appstore are installed into this folder /var/mobile/Applications
The game folder name is always some random digits and numbers. This never stays the same. So every time its reinstalled this is changed. There is a way to make it tell you what the app truly is. I suppose it checks inside each of them and reads info from iTunesMetadata.plist I am not truly knowledgeable in that area. You would have to speak to jailbreak devs about that. Anyway what you just told me has indicated another problem. The file types you mentioned do not exist whatsoever in the app. The file types are different which I suppose is not quite surprising. Can you tell me some files the editor calls to get the information it needs. perhaps the files still may exist just using a different filetype.