Preheat oven to 400℉.
Line a muffin pan with papers, or lightly grease the pan.
In a large bowl, whisk the sugars and butter together until smooth.
Beat in the molasses, egg, and apple sauce until combined.
Add the flour, baking powder, cinnamon, ginger, salt, baking soda, nutmeg, cloves and allspice, stirring until just combined.
Stir in the fresh ginger and the milk.
Fill the muffin pan cups equally with the batter.
Bake at 400℉ for 10 minutes, then reduce the heat to 375℉ and bake an additional 8 minutes or until the centres of the muffins are just baked. Don't overbake.
Cool in pan for 5 minutes, before transferring to a cooling rack to finish cooling.
Store cooled muffins in an airtight container.