Preheat the oven to 350℉. Spray an 8x4-inch loaf pan with nonstick spray.
In a medium owl, whisk together the flour, baking soda, baking powder, salt and cinnamon. Set aside.
In a large bowl, whisk together the yogurt, honey, brown sugar, butter, applesauce, eggs and vanilla. Whisk in the mashed banana. Then add the dry ingredients and whisk those in until everything is well combined.
Scrape the batter into the prepared pan and bake for about 55 minutes, or until the bread is golden and tests done with a toothpick inserted into the center coming out clean. Cool for at least 20 minutes, then turn the bread out onto a cooling rack to cool completely.