To a large mixing bowl add the melted butter, mashed banana, applesauce, dark brown sugar, eggs, and vanilla extract. Stir all of the ingredients together until well combined.
Next, add the gluten free flour, baking soda, cinnamon, ground nutmeg, ground ginger, and salt to the wet mixture. Stir until everything is well combined.
Once everything is well combined, fold the shredded carrots and walnuts into the batter.
Transfer the banana bread batter to a 9×5 pan that has been lined with parchment paper.
Bake the bread at 350 degrees for 60 minutes or until a toothpick inserted into the center of the bread comes out clean. Once cooked through, transfer the bread to a wire rack and let cool.
While the bread is cooling make the cream cheese frosting. Add the room temperature cream cheese, powdered sugar, cinnamon, room temperature almond milk, and vanilla extract to a mixing bowl. Use a hand mixer to whip until smooth and creamy.
Once the bread has cooled completely, spread the cream cheese frosting on top of the bread. Slice, serve, and enjoy!
Notes
Use a box grater to shred the carrot by hand for the best results.
Let the almond milk and cream cheese come to room temperature before making the frosting.