Preheat your oven to 350°F (175°C) and line a muffin tin with paper liners.

In a mixing bowl, cream together the softened butter, light brown sugar, and granulated sugar until smooth.

Beat in the egg, vanilla extract, and sour cream until well combined.

Mash the ripe bananas and add them to the mixture, mixing well.

In a separate bowl, combine the all-purpose flour, baking soda, and baking powder.

Gradually add the dry ingredients to the wet mixture, stirring until just combined.

In another bowl, beat together the cream cheese, egg, granulated sugar, and all-purpose flour until smooth.

Fill each muffin cup halfway with banana batter, add a spoonful of cream cheese filling, then top with more banana batter.

Bake in the preheated oven for 20-25 minutes or until a toothpick inserted comes out clean.

Let cool in the muffin tin for a few minutes before transferring to a wire rack.