Hello Jason_Antonio,
Welcome to Apple Support Communities. We're glad you're here, and it will be our pleasure to help you. We see from your post that you're trying to add some songs you purchased in iTunes to your iPod touch.
A few things to consider:
• Follow this link for tips to Use iTunes to sync your iPhone, iPad, or iPod with your computer.
Note: “If you use iCloud or other services like Apple Music to keep your content up-to-date across all of your devices, some syncing features through iTunes might be turned off.”
• View these steps to Access your music library on all your devices.
“WARNING: If you choose to replace the music library on your iPhone, iPad, or iPod touch, the music files on the device are deleted. The original files are kept on the Mac you previously synced them from, and iTunes Store purchases are always available to download again.”
We trust these tips will help you clearly understand your options.
All the best!