Preheat oven to 325 degrees and spray two loaf pans.
Combine flour, baking soda, salt, baking powder and cinnamon in a large bowl.
In another large bowl, beat together eggs, oil, applesauce, vanilla and white and brown sugars.
Pour the dry ingredients into the bowl with the wet ingredients and mix thoroughly until the batter forms.
Add the shredded zucchini to the batter.
Mix the zucchini into the batter until it is evenly distributed.
Divide batter among 2 loaf pans and bake at 325 degrees for 55 minutes.
After the zucchini bread comes out of the oven, remove from pans and place on cooling racks to cool.