Preheat the oven to 375°F. Line a baking sheet with parchment paper or a silpat mat.
In a large bowl, whisk together the flour, baking powder, baking soda, salt and allspice.
In a separate bowl, whisk together the sugars, applesauce, melted butter, egg and vanilla until well blended. Add the flour mixture to the applesauce mixture. Mix well. Fold in the oats. At this point, you can decide if you'd like to mix in the chocolate chips or save them to sprinkle on top of each scoop of cookie dough.
Drop rounded tablespoonfuls (about 1½ tablespoons) onto the baking sheet 2-inches apart. You should end up with about 22 cookies. Bake 8 to 10 minutes, or until set. Remove from oven and cool on the baking sheet for 5 minutes; remove to a wire rack to cool completely.