Preheat oven to 350°F (175°C) and line an 8x8-inch baking pan with parchment paper.
In a bowl, whisk melted butter, granulated sugar, and brown sugar.
Add eggs and vanilla extract and mix until smooth.
Stir in cocoa powder, flour, salt, and espresso powder until combined.
Fold in chocolate chips and spread batter into prepared pan.
In another bowl, beat cream cheese and sugar until creamy.
Add egg and dissolved coffee and mix until smooth.
Spoon cheesecake mixture over brownie batter.
Swirl gently with a knife to create a marbled effect.
Bake for 35–40 minutes until center is set.
Cool completely before slicing into squares.