Hungarian Beef Goulash With Paprika

Ingredients

• 2 cups all-purpose flour, plus more as needed
• 2 extra large eggs, beaten
• 2 teaspoons vegetable oil, plus more for coating
• 1/4 teaspoon kosher salt
• 1/4 cup vegetable oil
• 2 1/2 to 3 pounds bone-in beef shank meat cut by the butcher as for osso buco, then cut into 1-inch cubes to yield 1 1/2 pounds of meat with marrowbones reserved
• 2 yellow onions, halved and thinly sliced
• 4 garlic cloves, crushed
• 5 tablespoons best-quality hungarian sweet paprika
• 1/4 teaspoon cayenne pepper
• 1/4 teaspoon ground caraway seed
• 3/4 cup dry white wine
• 3 1/2 cups homemade beef stock or canned low-sodium beef broth
• 1 1/2 cups water
• 1 1/2 teaspoons kosher salt
• 1/2 pound potatoes, peeled and cut into 1/2-inch dice
• 1 green bell pepper, seeded and cut into pieces about 1/2 inch long by 1/4 inch wide
• 1 batch hand-pinched dumplings
• 2 teaspoons finely chopped fresh marjoram (optional)
• 4 tablespoons sour cream (optional)