Preheat oven to 425 degrees F.
In a large bowl, combine flour, sugar, salt, baking powder and soda, and whisk until combined. Using a fork, pastry blender or your hands, add butter pieces to the flour and mix until coarse little crumbles remain. Stir in the grated cheese. Make a well in the center and pour in beer, stirring with a large spoon until just combined, not overmixing. Use your hands if needed to bring the dough together – I did.
Pat the dough into a circle that is about 1 1/2 inches thick. Using a biscuit/cookie cutter, cut the dough into rounds and place on a nonstick baking sheet if baking aline. You may need to bring the dough together and flatten it more to get the last few biscuits. Additionally, you could also just drop large spoonfuls of batter on the baking sheet and form them that way. Baker for 10-12 minutes, or until golden on top.
If you’d like to bake the biscuits ON the chili, scoop the chili in a large baking dish [9×13 inch at least] and place the dough rounds on top. Bake for 15 minutes, then remove the dish from the oven and gently lift up on the biscuits. When they sit on the chili the bottoms can take longer to bake, so lift slightly (you can flip if you’d like, but it won’t be as pretty!) and lower back down. Cover the dish with foil and bake again for another 15 minutes, or until the biscuits are set. Make sure to check the bottoms before serving!