There are 4 possibilities, with each possibility being a state
1) Even 'a' and Even 'b' --> q0
2) Odd 'a' and Even 'b' --> q1
3) Even 'a' and Odd 'b' --> q2
4) Odd 'a' and Odd 'b' --> q3
Since its an OR condition, any state other than q1 is a final state