Preheat the oven to 425 degrees F (220 degrees C).

Whisk flour, baking powder, salt, and baking soda together in a bowl; cut in shortening until mixture is crumbly. Add milk and sour cream; stir until dough comes together.

Turn dough out onto a floured work surface; knead 10 times. Roll dough out; cut into biscuits. Place biscuits on a baking sheet.

Bake in the preheated oven until biscuits are lightly browned, about 10 minutes.