Preheat your oven to 350°F (175°C). Line a 9x9 inch baking pan with parchment paper, leaving some overhang for easy removal.

In a mixing bowl, whisk together the melted butter and sugar until combined. Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.

In another bowl, combine the flour, cocoa powder, baking powder, and salt. Gradually add the dry ingredients to the wet mixture, stirring until just combined. Finally, mix in the red food coloring until evenly distributed.

In a separate bowl, beat the softened cream cheese and sugar until smooth. Add the egg and vanilla extract, mixing until well combined.

Pour half of the brownie batter into the prepared baking pan. Spoon the cream cheese mixture over the brownie layer, then dollop the remaining brownie batter on top. Use a knife to swirl the two mixtures together.

Bake in the preheated oven for 25-30 minutes, or until a toothpick inserted into the center comes out with a few moist crumbs.

Allow the brownies to cool in the pan for about 10 minutes before lifting them out using the parchment paper. Let them cool completely on a wire rack before cutting into squares.