Thanks for the additional information REN0000225283748!
It sounds like you can launch EA games just fine, which means your accounts should be linked properly. Otherwise, you would've received a pop-up prompting you to link Steam to an EA account. Another indicator of a successful link is if you can see your Steam friends in the taskbar on the right side of the screen.
On that note, the EA website is the most accurate channel to check whether your accounts are linked. If you followed the steps on this page when linking those platform accounts, and the account you've signed in to in the EA App matches the one on the website, you should be good to go. I believe Discord is one of the few platforms that need to be linked via the EA App, so it will definitely appear under the app's connected accounts section.