EE just means they have amerucana or araucana some where in their blood line. Both genes produce the "Blue Egg" Gene. What they are mix with will determine the egg color "IF" they are first generation. Blue/green and even Pink. If 2nd generation or greater all bets are off.
I have a very pretty girl that looks like a Blue Wheaten Ameraucana . She has the right Pea comp,She has muffs and a beard,she even has slate colored shanks but, lays a brown egg.