Step 1: Preheat Oven
Preheat to 350°F (175°C). Line two 8-inch pans with parchment rounds and lightly grease the sides.
Step 2: Prepare Dry Ingredients
Sift flour, cocoa, coffee powder, baking powder, baking soda, and salt into a large bowl. Whisk to combine.
Step 3: Combine Wet Mixture
Microwave milk, oil, and instant coffee together until warm. In a separate bowl, beat yogurt, eggs, and vanilla until fluffy.
Step 4: Mix Batter
Alternate adding dry ingredients and warm milk mixture to the egg mixture. Mix until smooth. Fold in chopped Oreos.
Step 5: Bake the Cakes
Divide batter evenly into pans. Bake at 300°F (150°C) with fan on for 33–35 minutes or until a toothpick comes out clean. Cool in pans for 20 minutes, then transfer to a wire rack.
Step 6: Make the Oreo Buttercream
Beat softened butter and powdered sugar until light and fluffy. Add vanilla, salt, heavy cream, and crushed Oreos. Mix until smooth.
Step 7: Assemble the Cake
Trim cake layers flat. Spread Oreo filling on one layer. Stack and frost the entire cake with remaining buttercream using a scraper for a smooth finish.
Step 8: Chocolate Ganache Drip
Heat cream until just boiling. Pour over chocolate chips, wait 1 min, then stir until silky. Drizzle around cake edges using a squeeze bottle. Decorate with swirls, chopped Oreos, and sprinkles.