Preheat oven to 375 degrees F (190 degrees C). Grease one 12-cup muffin tin.
In a large bowl, beat the applesauce, oil egg, sugar and water together for 2 minutes at medium speed.
In a medium bowl, combine the flour, cinnamon, salt, baking soda, allspice and muesli together. Add the dry ingredients to the applesauce mixture. Beat on low speed until combined.
Spoon batter into the prepared muffin tin filling each cup 3/4 full. Bake in the preheated oven for 20 to 25 minutes or until the tops are golden brown an spring back lightly when touched. Remove from pans immediately to cool.