Preheat oven to 350ºF. Grease and flour one 9x5" pan.
In a large bowl, mix together pumpkin puree, eggs, oil, applesauce, water and sugars until well blended. Add in the dry ingredients and stir the dry ingredients into the pumpkin mixture until just blended. Pour into the prepared pan and sprinkle the tops with Turbinado sugar if desired.
Bake for 50-60 minutes in the preheated oven. The bread is done when a toothpick inserted in center comes out clean. If you choose to make muffins instead, they will need about 30 minutes.