Combine flour, Sucanat, cinnamon, baking soda, baking powder, nutmeg, ginger and salt in a mixing bowl.
In a larger, separate bowl, mash the banana, and stir in nondairy milk and vanilla. Mix thoroughly. Add the flour mixture, walnuts, and apples. Mix to combine.
Spread into 9 × 9 nonstick baking pan and bake for 30–35 minutes, until a toothpick inserted into the center comes out clean.