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Preheat the oven to 425 degrees F (220 degrees C) and line a rimmed baking sheet with parchment paper.
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Add flour, grated Cheddar, parsley, baking powder, garlic powder and salt to a bowl and mix to combine. Add milk and shortening. Use a fork or pastry cutter to cut shortening into dry ingredients until combined.
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Turn dough onto a cutting board and form into an 8-inch square. Cut into 4 pieces, then transfer to prepared baking sheet.
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Bake in the preheated oven until biscuits are golden brown, 15 to 20 minutes.
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Meanwhile, fry bacon in a nonstick skillet over medium-high heat until crisp, turning occasionally, about 5 minutes. Drain bacon on a plate lined with paper towels; drain any excess grease from the skillet. Add sausage patties; fry, turning occasionally, until no longer pink at the center, about 5 minutes. Remove to a plate.
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Add olive oil to the skillet and fry or scramble eggs to your taste.
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Slice biscuits open horizontally, and assemble the sandwich, from top to bottom: bottom half of biscuit, egg, Cheddar cheese slice, bacon, and sausage, then finish it with the other biscuit half on top.