Heat the oven to 425°F. Brush an 18-by-13-inch rimmed sheet pan with 1 tablespoon oil, arrange frozen pierogies in one layer and drizzle the measured water around them. Cover the pan tightly with foil.
Bake for 15 minutes, then remove the foil carefully to avoid escaping steam. Turn the pierogies and let any small pool of water evaporate for 2 minutes in the oven.
Toss kielbasa, green beans and onion with remaining oil, salt and pepper. Add them around the pierogies in one layer.
Roast uncovered for 15 to 18 minutes, turning once, until the pierogies are tender with hot filling and golden surfaces and the beans are tender; follow any higher minimum internal temperature listed on the pierogi package.
Mix sour cream and Dijon in a small bowl. Serve 3 pierogies per person with one-quarter of the sausage and vegetables and a spoonful of the cold sauce.