Preheat oven to 350°F. Line two baking sheets with parchment.
Whisk flour, baking soda, baking powder, salt, cinnamon, ginger, nutmeg, and cloves.
Cream butter, brown sugar, and granulated sugar until fluffy, about 2 minutes.
Beat in applesauce and vanilla until smooth and combined.
Add dry ingredients to the bowl. Mix on low just until no dry streaks remain.
Splash in milk if the dough feels crumbly; stop as soon as it holds together.
Fold in butterscotch chips until evenly dispersed.
Scoop 1.5-tablespoon mounds, spacing 2 inches apart. Bake 10–12 minutes until edges set.
Cool on the sheet 5 minutes, then move cookies to a rack to finish cooling.