Preheat your oven to 350°F (175°C). This is a crucial step, as starting with a hot oven helps the bread rise perfectly.
Grease an 8x4-inch loaf pan with nonstick spray. This ensures your bread will come out easily after baking.
In a medium bowl, whisk together the all-purpose flour, baking soda, baking powder, salt, and ground cinnamon. This helps distribute the leavening agents evenly.
In a large bowl, combine the nonfat plain Greek yogurt, honey, brown sugar, butter, unsweetened applesauce, large eggs, and vanilla extract. Whisk until smooth, ensuring there are no lumps.
Fold in the mashed ripe bananas, mixing well to incorporate them into the wet ingredients.
Gradually add the dry ingredients to the wet mixture. Use a spatula to gently fold everything together until just combined. Avoid over-mixing, as it could lead to a dense loaf.
Pour the batter into the prepared loaf pan, smoothing the top with a spatula. This will help create an even rise.
Bake in the preheated oven for about 55 minutes, or until the bread is golden brown and a toothpick inserted into the center comes out clean. Keep an eye on the bread in the last few minutes so it doesn't over-bake.
Once it's done baking, remove the bread from the oven and allow it to cool in the pan for at least 20 minutes. This helps to set the bread.
Carefully turn the bread out onto a cooling rack to cool completely. This will help prevent it from getting soggy.