In a large mixing bowl, whisk together the flour, sugar, baking powder, and salt until well combined.

Cut the cold butter into the flour mixture until it resembles coarse cornmeal.

Gently fold in the cheddar cheese and chopped green onions.

In a separate bowl, combine buttermilk and milk. Slowly pour into the dry mixture, stirring gently.

Cover the dough and let it rest for 30 minutes at room temperature.

Preheat your oven to 425°F (220°C).

On a floured surface, roll out the rested dough to about ½ inch thick.

Cut out the biscuits and place them on a parchment-lined baking sheet.

Bake the biscuits for 12 minutes until lightly golden.

Once baked, brush the tops with melted butter and sprinkle with cheese, then bake for an additional 3 minutes.

Broil for 1 minute for extra crispiness.