Bought DLC for xbox, have proof of it in order history but can’t access it on the console.

Nope, never bought EA access. Is there a way to find out how I got something on my console specifically? Like I still have the origins dlc downloaded on the console, so is there like a payment/order history but for the console?

It sounds to me like he bought a used console, and the previous owner left purchased games/DLC on it. The previous owner never performed a license transfer so the console licenses remained in place and allowed OP to access the content previously purchased.

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If the above is true, then you will need to purchase the content under your gamertag in order to access the games/DLC again. If you do own the account that purchased the content, you will need to perform a license transfer for that gamertag as well as your
primary account in order to access it on your repaired console. (This is where Smwutches is going with her question)

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If this is the original purchasing gamertag and the content is not appearing in your download history, then you will need to call support. They have some tools to look at purchase history and download history, and if there is a discrepancy, they are the
only ones who will be able to help you.

The game was originally purchased as a disc but the dlcs were bought on the 360 marketplace. I have both digital and physical copies of this game and I can’t access my dlcs either way

yeah it's console based but you still need the original account that has already bought the dlc in the same xbox in order to access to the dlc on other account. That happen to me on the Left 4 Dead 2 and Minecraft DLCs but i don't know is this happens to
Battlefield 3 DLCs. Also the Usage Restrictions says that ''Access to this item will also be granted to all users on this first console'' and also says '' you''ll need to sign in Xbox Live with your Xbox Live account on that console before accessing the item''.
The same Usage Restrictions description to the other DLCs so is this happens to Battlefield 3?

Can you clarify so we can better help you out.

You can't access the web page ? Nothing came up on your order history ? or it's is shown as bought and paid for in your purchase history, but not showing up on your console ?