Preheat the oven to 350°F / 175°C.
Combine flours, baking powder, baking soda and salt in a mixing bowl.
In a separate bowl, mash the bananas with a fork, then add apple sauce, milk, olive oil, vanilla and nuts and stir to mix.
Fold the banana mixture into the flour mixture and stir to combine.
Pour into a greased and floured 10×4 inch (25×10 cm) loaf pan or 8 inch (20 cm) round bundt pan.
Bake for 1 hour and 10 minutes, the baking time varies according to oven.
Remove from oven and place on a wire rack in the pan for 10 minutes, then turn the pan to remove the banana bread and leave to cool completely for a couple of hours.
Ready to serve. The bread will stay moist for days. Keep in the fridge.