Q: iPod Touch 5

What exactly happens when you try to sync?

Does iTunes see the iPod?

Was the iPod previous synced to another iTunes library/computer?

Have you successfully synced from this iTunes library/computer before?

If so have you done anything like update iTunes on the computer since it last successfully synced?

Do the songs play in iTunes?         

Does any media now sync to the iPod?

Do you have the right boxes checked to sync?

iTunes: Syncing media content to iOS devices and iPod       

https://support.apple.com/en-us/HT201253

Try syncing using the manual method                

Managing content manually on iPhone, iPad, and iPod

https://support.apple.com/en-us/HT201593