The attack was avoided. If you walk or are moved into the Effect, you're gonna eat the damage.
So what you *really* meant to ask CSR was: Does the Effect of a Power still apply to someone that used Evasion to avoid damage from the Power's attack. To which I'm pretty sure they will say "Yes, you are still subject to a power's effects regardless of whether you Evaded the initial attack or were missed by the attack."
So what you *really* meant to ask CSR was: Does the Effect of a Power still apply to someone that used Evasion to avoid damage from the Power's attack. To which I'm pretty sure they will say "Yes, you are still subject to a power's effects regardless of whether you Evaded the initial attack or were missed by the attack."