Preheat the oven to 350°F and line a baking sheet with parchment paper.
Add the cubed butter, sugar, and brown sugar to a mixing bowl or the bowl of the stand mixer fitted with the paddle attachment. Beat with a hand mixer or the stand mixer until creamed.
Add the milk and vanilla extract. Beat again until well combined.
Add the flour, baking powder, baking soda, and salt. Mix until just combined.
Stir in the oreo pieces (8 oreos).
Split the dough into five equal pieces and roll into balls. Top with the pieces of the remaining 2 oreos. Place on the baking sheet, leaving room in between.
Bake for 12-14 minutes, until lightly golden.
Make the drizzle: Place the white chocolate chips and coconut oil in a small microwave-safe bowl. Microwave in 30 second intervals, stirring in between, until melted and creamy.
Allow the cookies to cool slightly on the baking sheet, then drizzle with the white chocolate. Enjoy!