Preheat your oven to 350°F and line a small baking pan (approximately 6x6 inches or similar small batch size) with parchment paper, leaving some overhang for easy removal. While the oven heats, sift the cocoa powder into a small bowl to remove any lumps—this ensures a smooth, lump-free brownie texture. Measure out all remaining ingredients and have them ready before you begin mixing, as this recipe comes together quickly.
In a small bowl, beat the softened cream cheese and 1.5 oz sugar together until smooth and creamy. In a separate bowl, lightly whisk the 1/2 egg, then add 2 tablespoons of the whisked egg to the cream cheese mixture along with the cold heavy cream and vanilla essence. Stir until well combined and set aside. I find that using cold heavy cream makes it easier to incorporate smoothly into the cream cheese without breaking down.
Combine the butter and chocolate chips in a microwave-safe bowl. Microwave in 30-second intervals, stirring between each interval, until completely melted and smooth—typically 1 to 1.5 minutes total depending on your microwave. Stir the sifted cocoa powder from Step 1 into the melted chocolate until fully incorporated and smooth.
In a clean bowl, whisk the 1.5 eggs with the 5 oz sugar until the mixture is pale, fluffy, and roughly doubled in volume—this aerates the batter for a better texture. Add the red food dye and stir until the color is evenly distributed throughout. Pour the chocolate mixture from Step 3 into the egg mixture and fold together gently until just combined. I like using gel food dye because it gives a more vibrant red color without adding extra moisture to the batter.
In a small bowl, whisk together the flour, salt, and espresso powder. Fold this dry mixture into the red velvet batter from Step 4 until just combined—be careful not to overmix, as this keeps the brownies tender. Reserve 3 tablespoons of the batter in a separate bowl, then pour the remaining batter into your prepared pan and spread it into an even layer.
Spread the cream cheese filling from Step 2 evenly over the chocolate layer in the pan. Dollop the reserved 3 tablespoons of red velvet batter over the cream cheese layer in small spoonfuls. Using a knife or skewer, gently swirl through the layers in a few passes to create a marbled effect—don't overdo it, as a few swirls look more elegant than over-mixing.
Bake the brownies for 35 to 40 minutes, until a toothpick inserted in the center comes out with a few moist crumbs and the center reaches approximately 180°F on an instant-read thermometer. Remove from the oven and let cool in the pan for at least 15 minutes before slicing. The brownies will continue to set as they cool, making them easier to cut cleanly.