Preheat the oven to 375 degrees F (190 degrees C). Line a baking sheet with parchment paper.
Cream together coconut oil, white sugar, and brown sugar in a bowl using an electric mixer. Gradually add applesauce and mix to combine. Blend in vanilla extract.
Combine flour, cocoa powder, baking powder, and salt in a bowl. Gradually add flour mixture to the bowl with the coconut oil mixture and mix until batter is smooth. Fold in white chocolate chips.
Roll dough out into 2-inch balls and place onto the prepared baking sheet.
Bake cookies in the preheated oven until edges are crispy, about 12 minutes.