Bring a large pot of water to a boil. Add perogies and cook stirring occasionally for 5 mins. Set aside.
Heat a large skillet over medium heat. Add sausage and cook until just browned, 6-8 mins.
Add garlic and continue cooking, stirring occasionally until garlic has softened and sausage has browned, 4-5 mins.
Add perogies, rapini and olive oil, sauté for 2-3 mins. Remove from heat, stir in lemon juice, season with fresh ground and top with cheese.