1) Preheat oven to 350 degrees. Blend together the oil, sugar, and eggs until thoroughly combined and fluffy.
2) In a separate bowl combine the flours, baking soda, and baking powder.
3) In three additions, add the dry ingredients to the wet, being careful not to over-mix.
4) Add the milk, vanilla, and bananas and combine until just mixed. Gently fold in the shredded zucchini.
5) Pour batter into two greased loaf pans. Bake for 45-50 minutes at 350 degrees.