Preheat oven to 325F. Grease and flour two 8 x 4 inch bread pans. Sift flour, salt, baking powder, soda, and cinnamon together in a bowl. Beat eggs, oil, apple sauce, vanilla, and sugars together in a large bowl. Add sifted ingredients to the creamed mixture, and beat well. Stir in zucchini and nuts until well combined. Pour batter evenly into prepared pans. Bake for 70 minutes, or until toothpick inserted in the center comes out clean. Cool in pan on rack for 20 minutes. Remove bread from pan, and completely cool.