Preheat the oven to 350°F (175°C). Grease a 9×5-inch loaf pan and set aside.
In a medium bowl, whisk together the all-purpose flour, baking soda, baking powder, salt, ground cinnamon, ground nutmeg, ground cloves, and ground ginger until well combined.
In a large bowl, whisk the melted unsalted butter, granulated sugar, and light brown sugar until smooth.
Add the eggs to the butter and sugar mixture one at a time, beating well after each addition.
Stir in the canned pumpkin puree, mashed ripe bananas, and vanilla extract until fully incorporated.
Gradually add the dry ingredients to the wet ingredients, folding gently until just combined. Do not overmix.
Pour the batter into the prepared loaf pan and smooth the top with a spatula.
Bake for 55 to 65 minutes, or until a toothpick inserted into the center comes out clean.
Remove the bread from the oven and let it cool in the pan for 10 minutes.
Transfer the bread to a wire rack to cool completely before slicing.