Preheat oven to 375 degrees F (190 degrees C). Stir flour, baking soda, and baking powder in a small bowl.

Beat coconut oil, yogurt, and sugar with an electric mixer in a large bowl until smooth. Add egg and vanilla extract and beat again. Mix in flour mixture until just incorporated.

Add 2 of the crushed candy canes. Mix until combined. Roll dough into 1 inch balls and place 2-inches apart onto ungreased baking sheets.

Bake in preheated oven until golden, 8 to 10 minutes. Let stand on baking sheet two minutes before removing to cool on wire racks. Allow to cool completely.

Melt white chocolate chips and drizzle over the cookies. Top with additional crushed candy cane.