Preheat your oven to 350°F (175°C). Grease a 9×13-inch baking pan or line it with parchment paper.

In a medium saucepan, melt the butter over low heat. Remove from heat and mix in the granulated sugar and brown sugar until fully combined. Allow to cool slightly.

Stir in the eggs one at a time, followed by the vanilla extract, mixing well.

In a separate bowl, whisk together flour, cocoa powder, baking powder, and salt. Gradually stir into the butter-sugar mixture until just combined.

In another bowl, beat the softened cream cheese, granulated sugar, egg, and vanilla extract until smooth and creamy.

Pour half of the brownie batter into the prepared pan and spread evenly.

Dollop the cream cheese mixture over the brownie base and swirl gently with a knife.

Pour the remaining brownie batter on top.

Bake for 30-35 minutes or until a toothpick comes out mostly clean.

Allow to cool in the pan before cutting into squares.