When my console isn't online, my DLC goes missing. Do I have to be online to play my downloadable content?
To play your DLC offline, make sure you are downloading it and saving it to either your hard drive or an SD card. Otherwise you will need to be online to access your downloadable content. If you've changed consoles or hard drives recently, you most likely need to migrate your account and licensing. The support page for your console should be able to walk you through that process.