Preheat the oven to 350 degrees F. Line the bottom of a 9X5-inch loaf pan with parchment paper. Lightly grease the insides of the pan with cooking spray.
In a large bowl, whisk together oil, granulated sugar and brown sugar. Add the eggs, whisking until smooth. Add the applesauce, vanilla, and Greek yogurt and mix until well-combined
Add the flours, baking soda, baking powder, cinnamon, nutmeg and salt and stir just until combined; don't over-mix the batter.
Pour the batter into prepared loaf pan and spread into an even layer.
Bake for 45-55 minutes or until a toothpick inserted near the center comes out clean or with just moist crumbs.
Remove from oven. Run a knife gently around the side of the pan and then remove bread onto a cooling rack.
