Preheat the oven to 350 degrees F (175 degrees C). Line a baking sheet with parchment paper.

Beat butter, brown sugar, and 3/4 cup white sugar with an electric mixer in a large bowl until smooth. Add cookie butter and peanut butter; beat until fluffy. Mix flour, egg, baking soda, baking powder, and salt into butter mixture until dough comes together. Roll dough into teaspoon-size balls.

Spread 1/3 cup sugar into a shallow dish. Roll dough balls in sugar to coat and arrange onto the prepared baking sheet. Press the top of dough balls twice with a fork in a crosshatch shape.

Bake in the preheated oven until golden brown, about 12 minutes.