How to Make It
Preheat oven to 325°F. Grease and line a standard-size loaf pan with parchment paper. In a bowl, stir together flour, baking powder, cinnamon, and salt; set aside.
In a large mixing bowl, whisk together applesauce, eggs, vanilla, brown sugar, honey, and vegetable oil. Whisk vigorously until mixture is completely homogenous. Add dry ingredients and whisk gently until just combined, being careful not to overmix. Fold in apple pieces.
Transfer batter to prepared loaf pan and bake until a toothpick inserted comes out clean, about 1 hour and 20 minutes. Allow to cool completely before dusting with powdered sugar, if desired.