Preheat oven to 350 degrees F (175 degrees C). Grease and flour two 9x5 inch loaf pans. Whisk together the all-purpose flour, whole wheat flour, flax seed, cinnamon, salt, baking powder, and baking soda in a bowl until evenly combined; set aside.
Step 2
Beat the eggs, vanilla, white sugar, brown sugar, applesauce, and vegetable oil in a mixing bowl until smooth. Fold in the flour mixture, carrots, zucchini, cranberries, and walnuts until no dry spots remain. Divide the batter between the two prepared loaf pans.
Step 3
Bake in the preheated oven until a toothpick inserted into the center comes out clean, about 60 minutes. Cool in the pans for 10 minutes before removing to cool completely on a wire rack.