You posted in the iPad forum instead of the iPod forum. To get answers to your question, next time post in the proper forum. See https://discussions.apple.com/index.jspa I'll request that Apple relocate your post.
BTW - Your iPod can't be running iOS 6.1.4 as iOS 6.1.4 is only for the iPhone. The max for an iPod is iOS 6.1.3.
Are you doing this"
Place the iOS device in Recovery Mode and then connect to your computer and restore via iTunes. The iPod will be erased.
If recovery mode does not work try DFU mode.
For how to restore:
To restore from backup see:
If you restore from iCloud backup the apps will be automatically downloaded. If you restore from iTunes backup the apps and music have to be in the iTunes library since synced media like apps and music are not included in the backup of the iOS device that iTunes makes.
You can redownload iTunes purchases by:
What exactly happens when you do?