Preheat the oven to 350°F (175°C) and lightly grease a loaf pan.
Mash the ripe bananas in a large bowl until smooth and creamy.
Combine the sugar, applesauce, vanilla extract, and eggs into the mashed bananas.
Whisk together the baking soda, baking powder, salt, and flour in a separate bowl.
Fold the dry mixture into the wet ingredients gradually, stirring gently until just combined.
Pour the batter into the prepared loaf pan, spreading it evenly.
Bake for 50-60 minutes, or until a toothpick inserted in the center comes out clean.
Cool the bread in the pan for 10 minutes, then transfer to a wire rack.
