In a medium-sized mixing bowl, using a hand mixer, mix cake mix, applesauce, egg and carrots until combined.
Place batter in refrigerator and let chill for 20-30 minutes. Do not skip this step!
Preheat oven to 350° F.
Using a 1.25 inch cookie scoop, place scoops of dough (2 inches apart) on a baking sheet lined with parchment or a silicone mat. Bake for 8-10 minutes or until center is just set. Let cool on baking sheet for 2 minutes before transferring to a cooling rack.
Using a hand or stand mixer, beat cream cheese and butter together. Add pineapple and mix well. Slowly mix in confectioners sugar.
Spread frosting onto tops of cooled cookies then sprinkle with pecans.
Store leftover cookies in the refrigerator in a covered container.