Sorry, I forgot to attach the picture.
So in this case, would be the following answer sufficient enough?:
The inner Property EGa is satisfied by the sequence s2->s3-s6->s2->... So for the outer property EF there must be a path were eventually one of the states s2,s3,s6 could be reached, which is possible for the states s5(s5->s2), s0(so->s5), s1(s0->s5),s5(s0->s5). So the state set is given by: {s0,s1;s4;s5;s2;s6;s3}