Hello PixelBeaver!
Have you actually taken the steps to download the dlc onto your Xbox one? Since you owned it on the Xbox 360, it should be free on the Xbox one store, granted you're using that same account that purchased it on the Xbox 360.
The [url=https://www.bungie.net/en/Help/Article/12122][b]Digital Upgrade FAQ[/b][/url] will provide some more useful information, you should give it a look.
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Thank you! I'll give that a try!