- Cake:
- 1 (16.25 ounce) package moist white cake mix (such as Betty Crocker® SuperMoist®)
- 1 1/4 cups water
- 3 eggs
- 1/3 cup vegetable oil
- Poke Drizzle:
- 1 (14 ounce) can sweetened condensed milk
- 1/3 cup coffee-flavored liqueur (such as Kahlua®)
- 1 tablespoon unsweetened cocoa powder
- 1 tablespoon instant espresso powder
- 3/4 teaspoon sea salt, divided
- Topping:
- 4 egg yolks
- 1/2 cup white sugar
- 1 (8 ounce) package cream cheese
- 3 tablespoons coffee-flavored liqueur (such as Kahlua®)
- 1 cup heavy whipping cream
- 1/2 teaspoon unsweetened cocoa powder, or to taste
- Preheat oven to 350 degrees F (175 degrees C). Grease a 9×13-inch baking dish.
- Mix cake mix, water, eggs, and oil together in a bowl using an electric mixer on medium speed until batter is smooth, about 2 minutes. Pour batter into the prepared dish.
- Bake in the preheated oven until a toothpick inserted in the center comes out clean, 29 to 34 minutes. Cool cake for at least 30 minutes.
- Whisk sweetened condensed milk, 1/3 cup coffee-flavored liqueur, 1 tablespoon cocoa powder, espresso powder, and 1/2 teaspoon sea salt together in a bowl until drizzle is smooth.
- Poke holes into cake using the large end of a chopstick or a similar tool. Pour poke drizzle over entire cake, smoothing with a spatula and ensuring the drizzle goes into the holes. Refrigerate for 2 hours.
- Beat egg yolks and white sugar together in a bowl using an electric mixer until very light yellow and stiff. Add cream cheese, 3 tablespoons coffee-flavored liqueur, and 1/4 teaspoon salt; mix well.
- Beat heavy whipping cream in a separate bowl until stiff peaks form; gently fold into egg yolk mixture until topping is just mixed. Pour topping over cooled cake, smoothing well. Dust with 1/2 teaspoon cocoa powder. Cover and refrigerate.