Preheat oven to 400°F (200°C). Arrange hash brown patties on a baking sheet and bake for 20 minutes, flipping halfway through, until golden and crispy.

While hash browns bake, heat a large skillet over medium-high heat. Add breakfast sausage and cook, breaking it up with a spoon, until browned and cooked through. Drain excess fat.

In a medium bowl, whisk together eggs, milk, salt, and pepper until well combined.

Pour egg mixture into the skillet with cooked sausage. Cook over medium heat, stirring occasionally, until eggs are scrambled and cooked to your liking.

Remove hash browns from oven. Top each hash brown patty generously with the sausage and egg mixture.

Sprinkle shredded cheddar cheese over the top. Return to oven for 2 to 3 minutes, or until cheese is melted and bubbly.

Garnish with chopped green onions and serve with optional toppings like sour cream, salsa, or avocado.