Make the slaw: Combine the cabbage, apple, carrot and scallions in a bowl. Add 2 tablespoons dijonnaise and the vinegar; season with salt and pepper and toss. Set aside.
Heat 1 tablespoon butter in a large nonstick skillet over medium-high heat. Add the onion and cook, stirring occasionally, until tender and lightly browned, about 8 minutes. Season with salt and pepper. Transfer to a bowl and wipe out the skillet.
Preheat the broiler. Line a baking sheet with foil. Form the beef into four ¼-inch-thick oval patties; season with salt and pepper. Transfer to the prepared baking sheet. Broil until cooked through, about 3 minutes. Turn and cook another minute or 2 if needed. Top with the sauteed onion and cheese and continue broiling until the cheese is just melted, about 30 seconds.
Spread 4 slices bread with the remaining 2 tablespoons dijonnaise; top with the patties and remaining bread. Melt the remaining 1 tablespoon butter in the skillet over medium-high heat. Working in batches, add the sandwiches and cook until golden, 1½ minutes per side, reducing the heat as needed. Serve with the apple slaw.
Nutrition Information
Calories: 457 Fat: 16 g Saturated fat: 9 g Carbohydrates: 48 g Sodium: 738 mg Fiber: 6 g Protein: 30 g Cholesterol: 79 mg
Recipe by The Amiable Cooks at https://theamiablecooks.com/patty-melts-with-apple-slaw/