Preheat oven to 375°F. Place cupcake liners into muffin pan.
Heat coconut oil until just barely melted. Add to a mixing bowl along with applesauce, milk, vanilla, and eggs. Whisk together, then mix in sugar.
In a separate bowl, mix flour, cinnamon, salt, baking soda and baking powder. Add wet ingredients and mix until just combined.
Cut cranberries in half and fold into batter. Pour evenly into each muffin cup.
Bake for 25 minutes or until an inserted toothpick comes out clean.