My keyboard does not change language in facebook log in
I just bought MacBook Pro 15'4 I am in general new user with mac !!! My primary keyboard language is English and my secondary is Greek. When i try to log in to my facebook account i wrote my e-mail (in english of course) and my password is in greek and when i change the input source to greek does not change and greek became transparent in the language bar at the top !! I don't have an idea why cannot let me change the language only in this step to put my psw. I am using Safari and Chrome too, and is happening in both browsers too !!! I would be greateful and apriciated if someone can help me !!!
MacBook Pro with Retina display