Preheat your oven to 350°F (175°C) and grease a 9x5-inch loaf pan or line it with parchment paper.
In a large mixing bowl, combine flour, baking soda, baking powder, cinnamon, salt, and nutmeg. Stir until well blended, adding walnuts or coconut if desired.
In a separate bowl, mash the overripe bananas until mostly smooth. Add shredded carrots, maple syrup, vanilla, oil, and milk. Whisk until smooth.
Pour wet ingredients into dry ingredients and stir gently until just combined. Do not overmix.
Transfer the batter into the prepared loaf pan and smooth the top. Tap the pan to remove air bubbles.
Bake for 45 minutes, checking at 40 minutes with a toothpick. Cool in the pan for 15 minutes before transferring to a wire rack.
For best flavor, cover and let sit overnight in the fridge before serving.
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Notes
Store in an airtight container at room temperature for up to 2 days or in the fridge for up to 5 days. Freeze for longer storage.