Preheat oven to 350°F. Grease your loaf pan(s) or line with parchment paper.
In a medium bowl, whisk together flour, baking powder, baking soda, salt, cinnamon, ginger, and nutmeg.
In a large bowl, whisk oil, applesauce, vanilla, and both sugars until smooth. Add eggs one at a time, mixing until fully incorporated.
Add the dry ingredients to the wet ingredients and stir gently until just combined.
Fold in the grated zucchini. Do not overmix.
Pour batter into prepared pan(s):
9x5-inch loaf pan: Bake 50–60 minutes
8x4-inch loaf pan: Bake 55–65 minutes
Mini loaf pans (5x3-inch): Bake 35–40 minutes
Muffin tin: Bake 18–20 minutes (makes 12 muffins)
Bread is done when a toothpick inserted in the center comes out clean.
Let bread cool in the pan for 10 minutes before transferring to a wire rack to cool completely.