Preheat your oven to 350°F. Grease a 9x5-inch loaf pan with cooking spray or lightly coat with oil.
In a large bowl, whisk together the flour, baking soda, baking powder, salt, cinnamon, and pumpkin pie spice until well combined.
Separately, in a medium bowl, stir together the mashed bananas, canned pumpkin purée, granulated sugar, brown sugar, vegetable oil, eggs, and vanilla extract until smooth.
Slowly mix dry ingredients into wet until combined. Do not overmix to keep the bread tender.
Transfer the batter to the prepared loaf pan. Bake in the preheated oven for 60 minutes, or until a toothpick inserted into the center of the bread comes out clean.
Cool the bread in the pan for 10 minutes, then transfer to a wire rack to cool completely before slicing and serving.