Preheat the oven to 350°F (175°C) and grease or line an 8x8-inch baking pan with parchment paper.
Prepare the brownie layer: In a bowl, combine melted butter, sugar, eggs, vanilla extract, and red food coloring. Mix until smooth.
In a separate bowl, whisk together flour, cocoa powder, baking powder, and salt. Gradually add the dry ingredients to the wet mixture and stir until combined.
Pour the brownie batter into the prepared baking pan and spread evenly.
Prepare the cheesecake layer: In a separate bowl, beat the softened cream cheese, sugar, egg, and vanilla extract until smooth and creamy
.Drop spoonfuls of the cheesecake mixture on top of the brownie batter and use a knife or toothpick to swirl the two mixtures together.
Bake for 35-40 minutes or until a toothpick inserted in the center comes out with a few moist crumbs. Let cool in the pan before slicing into squares.