The game attempts to log in to your Dragon Age profile at the main menu, but the connection times out before the DLC is verified.

Once the launcher opens, go to the "Other Campaigns" or "Downloadable Content" tab. The "Unauthorized" text should be gone, and the buttons should say "Installed" or "Play."

Understanding the "Dragon Age 2 DLC Unauthorized 10" Error and How to Fix It

The most robust solution involves editing the local game files to tell the game engine that the content does not require online verification. This completely cuts out the faulty EA server check. Dragon Age II unauthorized DLC | EA Forums - 7359729