Why can't I sync iTunes Music to my ipod using this cable?

It should be able to sync to your iTunes account using the cable. Check to make sure that your computer's usb port isn't damaged, or that iTunes's files haven't been corrupted. Try restarting your computer and iTunes, then try plugging the cord in after iTunes has launched. If the problem still continues, make sure that your computer is recognizing the cord itself by going into the computer (C:\\) and checking for it there. Depending on your operating system, you might be able to launch an active scan of the ports that are open/used (or install a program that does). Finally, if that doesn't work, I would suggest you either return the product under warranty for another one, or try your luck with another cord. I purchased mine (same model/company, different site) and it has been working for months now. Hope this helps. :)