Preheat your oven to 350°F (175°C). Grease and flour a 9x13 inch baking pan.

In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.

In a large mixing bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy, about 3-4 minutes.

Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract and cookie butter until fully combined.

Gradually add the dry ingredients to the wet mixture, alternating with the sour cream and milk. Begin and end with the flour mixture, mixing until just combined.

Pour the batter into the prepared baking pan and smooth the top with a spatula.

Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.

Allow the cake to cool in the pan for about 10 minutes before transferring it to a wire rack to cool completely.