Place 3 cups flour in medium bowl; make well in center. Add 2 eggs and water to well; stir with fork until mixture forms stiff dough. Place on lightly floured surface; knead until dough is smooth and no longer sticky, adding remaining 1/4 cup flour as necessary. Cover and let stand 15 min.
Heat oven to 375°F. Divide dough into 8 equal pieces. Using a pasta roller, roll out each piece to thin (20x5-inch) strip. Cut each strip crosswise into 5 equal pieces. Add, in batches, to large pan filled with boiling water; cook 5 min. or until tender. Drain well. Pat dry with paper towels.
Combine ricotta, half the mozzarella, 1/2 cup Parmesan, remaining eggs and parsley. Spoon 1/2 cup pasta sauce onto bottom of each of 2 (13x9-inch) baking dishes. Spread 2 tablespoons ricotta cheese mixture onto each pasta piece; roll up. Place 20 manicotti, seam sides down, in each baking dish. Pour half the remaining pasta sauce over manicotti in each dish; top each with half the remaining mozzarella and Parmesan.
Bake 25 to 30 min. or until heated through.