Preheat your oven to 450°F (232°C).
In a large bowl, whisk together the flour, baking powder, and salt.
Cut in the cold butter using a pastry cutter or your fingers until the mixture resembles coarse crumbs.
Stir in the milk until just combined; do not overmix.
Turn the dough out onto a floured surface and knead gently a few times before rolling out.
Roll out to about 1-inch thick and cut out biscuits with a biscuit cutter.
Place the biscuits on a baking sheet and bake for 12-15 minutes or until golden brown.
While the biscuits are baking, prepare the sausage gravy.
In a skillet, cook the sausage over medium heat until browned and cooked through, about 5-7 minutes.
Sprinkle in the flour and stir for 1-2 minutes until well incorporated.
Gradually whisk in the milk, ensuring no lumps remain.
Simmer the gravy for 5-10 minutes until thickened, then season with salt and pepper to taste.
Remove the biscuits from the oven and serve warm, topped with the sausage gravy.
