Hi @Riptor00ZERO
If you have an issue with the game/dlc key on Steam then it is down to Steam to fix that for you. EA can only deal with issues regarding your EA account linking etc.
You can or at least should be able to add the game to Origin using the key, but it may require you to go through EA support and provide proof of purchase etc so they can manually add it to your account, that's if you can't get the key from Steam.
If you do try the proof of purchase route make sure you don't crop any screenshots, you might also need to try a few time as not all support help with this situation. Live chat is the best option.
To contact an Support use the following link: https://help.ea.com/en/contact-us/
Select Origin>Choose Platform>Manage Account and then choose the relevant topic or option and then select an available contact option