Preheat the oven to 220C/430F and greaseproof a baking tray.
Place the flour, baking powder, baking soda and salt into a bowl and stir to combine.
Add in the cubed butter and begin cutting it into the flour with a pastry blender or knife until the pieces of butter are no larger than a pea and the mixture resembles course breadcrumbs.
Make a well in the center, pour in the buttermilk, broccoli and grated cheese and stir to form your shaggy dough.
Press the shaggy dough into the edges of your bowl to form the dough and upturn onto a work surface.
Press firmly together and shape into a rough square with your hands.
Cut the dough in half with a bench scraper and lay one half on top of the other.
Press down firmly and lightly flour the bench scraper, press the edges of the dough to shape into a square.
Lightly flour a rolling pin and roll out into a rectangle that is 1 ½ inches thick.
Cut out your dough with a cookie cutter or into even squares and place onto your baking tray.
Brush the milk over the top of the biscuits.
Place in the oven and bake until truly golden on top, approximately 20 minutes.
Remove and allow to cool.
Serve with a little butter on the side.
Dig in!