Preheat oven to 350 degrees F. Grease a loaf pan.

Into a medium mixing bowl, sift together the flours, salt, and baking powder. Stir in the oats and sugar. In a separate bowl, whisk together the bananas, yogurt, and eggs. Fold the dry ingredients into the liquids just until combined. Pour the batter into the prepared loaf pan.

Bake until a cake tester entered in the center comes out clean and the surface is golden brown, 45-50 minutes.

Allow to cool on a wire rack in the loaf pan for 10 minutes and then turn out onto the rack to cool slightly.