Line a 12-muffin pan with 8 liners.
To a stand mixer or bowl (if you're using a hand mixer) add the butter and sugar. Beat on high until the butter is light and fluffy and the sugar is mixed. Beat in the eggs one at a time. Beat in the oil.
Stir in the applesauce, chopped apple and add the pecans, breaking them into pieces. Set aside.
To a bowl sift the flour, baking powder, baking soda, nutmeg, cinnamon, ginger, allspice and salt. Mix well.
Stir the dry mix into the wet mix adding in batches until well combined. Allow to rest for 10 minutes (this gives the gluten time to rest and make them lighter and fluffier) while you preheat oven to 425°F/220°C.
Use an ice cream scoop to add the batter to the muffin cups. Overfill the liners to make large muffin tops.
Bake for 10 minutes. Reduce the temperature to 350°F/277°C. Bake for a further 5-8 minutes until a toothpick comes out clean when inserted into the center of a muffin. Baking times may vary depend on your oven. It is best to rely on the toothpick method.
Remove from the oven and remove from the pan. Cool completely on a wire rack.