Preheat your oven to 350°F (175°C). Grease a muffin tin or line with paper liners.
In a large bowl, mix together the pumpkin puree, applesauce, eggs, and brown sugar until well combined.
In another bowl, whisk together the oats, flour, baking soda, cinnamon, nutmeg, and salt.
Add the dry ingredients to the wet ingredients and stir until just combined.
Divide the batter evenly among the muffin cups.
Bake for 20 minutes or until a toothpick inserted into the center comes out clean.
Let the muffins cool in the tin for 5 minutes, then transfer to a wire rack to cool completely.