01 - Preheat oven to 350°F. Line an 8 x 8 inch square baking pan with parchment paper, leaving an overhang for easy removal.
02 - In a medium mixing bowl, whisk together melted butter and granulated sugar until smooth. Add eggs, vanilla extract, and red food coloring. Whisk until fully incorporated.
03 - Sift in all-purpose flour, unsweetened cocoa powder, and salt. Fold gently with a spatula until just combined. Spread 3/4 of the red velvet batter evenly in the prepared pan, reserving the remainder.
04 - In a separate bowl, beat softened cream cheese and granulated sugar together until creamy. Add the egg and vanilla extract, mixing until the batter is smooth.
05 - Pour cheesecake batter evenly over the red velvet layer. Gently spread to the edges.
06 - Dollop the reserved red velvet batter over the cheesecake layer. Swirl gently with a knife or skewer for a marbled appearance.
07 - Bake for 33 to 37 minutes or until the center is set and a toothpick inserted comes out mostly clean with a few moist crumbs.
08 - Allow to cool completely in the pan. Refrigerate for at least 1 hour before slicing and serving.