Preheat the oven to 350 degrees. Line a muffin pan with cupcake liners and set aside.
In a medium bowl combine flour, baking powder, baking soda, salt, sugar, pumpkin pie spice, and cranberries in a bowl. Mix well and set aside.
In a large bowl mix the egg, butter, vanilla, pumpkin puree, and applesauce together. Mix well.
Add the dry ingredients to the wet ingredients and mix well. Batter will be thick.
Spoon the batter into the prepared muffin tin, filling 3/4 of the way full.
In a small bowl combine all crumble ingredients. Sprinkle the crumble over top of the muffins.
Bake for 28-30 minutes or until a toothpick inserted into the center comes out clean.
Remove from oven and allow muffins to cool for 5 minutes. Remove from muffin tin and cool completely on a wire rack.