Can't Play the game on both steam accounts.

Hello, I just purchased 'It Takes Two' on Steam, downloaded and installed the game. I also downloaded the friends pass on my other PC. However, when I tried to launch the game on Steam, it prompted me to log in to my EA account, even though I've already logged in on steam and I also linked my Steam to EA. My wife and I are unable to play the game together. Can you please help?