Preheat oven to 350 degrees. Coat a muffin pan with cooking spray with flour in it. This is really a must because there’s very little fat used in this muffin, (see shopping tip).
In an electric mixer or in a large bowl mixing by hand, add pumpkin, honey, applesauce, and oil.
Stir in eggs, and vanilla. Mix well.
Add wheat bran, oats, pumpkin pie spice, baking soda, salt, and mix until combined. Stir in cranberries or raisins and mix until blended.
Fill each muffin cup just about to the top. Bake until a toothpick inserted comes out clean, about 30-35 minutes.
Let cool for 10 minutes. Carefully loosen each using a spoon or dull knife before removing muffins from pan.
Clean muffin pan, spray again with cooking spray (with flour in it). Bake remaining 4 muffins.
When cooled, wrap each muffin with plastic wrap and store it on the kitchen counter for several days. These muffins freeze great too! Wrap each in plastic wrap and store in a plastic bag in the freezer.