In a large bowl, combine flour, baking powder, baking soda, salt, and sugar. Then, add the chilled, cubed butter
Using a pastry blender or a fork, cut the cold butter into the flour until it resembles coarse bread crumb consistency.
Add the Parmesan, and cheddar cheese. Combine but do not overmix.
Then, add the buttermilk and combine well with a spoon or spatula
The mixture will still appear dry and crumbly and that's ok. Bring the dough into a ball and transfer to a lightly floured work surface.
using a 3-inch cookie or biscuit cutter cut about 6 to 8 biscuits
Brush the tops of each biscuit with milk or more buttermilk
Bake for about 15 minutes until the top is lightly golden brown. Thicker biscuits may take up to 17 minutes.