Preheat oven to 350 degrees F and line a few cookie sheets with parchment.
Add melted butter, sugars, peanut butter, sourdough starter, egg, and vanilla to a mixing bowl and whisk very well until you have a smooth, creamy mixture.
Add flour, baking powder, baking soda, and salt. Stir with a wooden spoon or silicone spatula until a thick cookie dough forms and all ingredients are well combined.
Scoop dough with a #40 cookie scoop or two tablespoons of dough per ball. Roll in your hands and then roll in granulated sugar. Place balls two inches apart on parchment lined sheet.
Bake in preheated oven for 12-13 minutes until the outsides are crackled but the insides are still very soft. Remove from oven and allow cookies to cool on trays.
