Heat oven to 350 degrees Fahrenheit.
Stir together flaxseed and water until thick. Add flax mixture to sugar, applesauce, oil, and pumpkin in a large bowl.
In a medium bowl, mix flour, spices, baking soda, baking powder, and salt together. Add the dry ingredients to the wet ingredients. Gently stir in the walnuts.
Lightly coat 2 loaf pans with grease or cooking spray.
Split the mixture into two regular loaf pans. Toss oats or sugar on top to garnish.
Bake the loaves for about 55 minutes. Allow to cool 20 minutes in pans before removing to wire cooling rack.