Start by making the espresso drizzle. Combine the espresso, water, and sugar in a small saucepan over medium-high heat and bring to a boil. Cook for a minute, stirring occasionally. Then remove from heat and stir in the Kahlua. Allow to cool completely.
Next, combine the cheeses and whisk together using an electric mixer. Add ⅓ sugar, brown sugar, and remaining Kahlua and continue to beat until smooth and blended.
After choosing your dish, place a layer of halved ladyfingers (cut side up) in the bottom. Follow with drizzling half the espresso mixture over the ladyfingers. Then, either spread or pipe half of the filling over the ladyfingers. Repeat with the remaining ladyfingers, espresso drizzle, and cheese filling. Last, combine the cocoa and chocolate and sprinkle over the top of the filling. Cover and chill for two hours. Serve and enjoy!