01 - Preheat oven to 350°F (175°C). Line an 8 x 8 inch square baking pan with parchment paper, ensuring an overhang for effortless removal.
02 - In a medium bowl, whisk melted butter and granulated sugar until fully blended. Add eggs, vanilla extract, and red food coloring, mixing until uniform.
03 - Sift in all-purpose flour, unsweetened cocoa powder, and salt. Fold gently with a spatula until the batter is just combined. Spread approximately three-quarters of the red velvet batter evenly into the prepared pan, reserving the remainder.
04 - In a separate bowl, beat softened cream cheese and granulated sugar until smooth and creamy. Incorporate the egg and vanilla extract, mixing until homogenous.
05 - Carefully pour the cheesecake mixture atop the red velvet base and spread evenly across the surface.
06 - Dollop the reserved red velvet batter over the cheesecake layer. Draw a knife or skewer through the layers to create a marbled effect.
07 - Bake for 33 to 37 minutes, or until the center is set and a toothpick inserted emerges with a few moist crumbs attached.
08 - Allow to cool completely in the pan, then refrigerate for at least 1 hour before slicing for clean portions.