Double Cheeseburgers with Crunchy Green Beans

In a medium bowl, whisk the oil, dill, the chopped onion, and 1 tbsp. lime juice; season the dressing with salt and pepper. Place the green beans in a large resealable plastic bag. Using a rolling pin, roll the bag to lightly smash the green beans. Add the dressing to the bag and seal. Let the green beans marinate.

Arrange a rack under the broiler; preheat to high. On a large rimmed baking sheet, arrange the buns, cut-side up. Broil until lightly golden, 1 to 2 minutes. Let cool.

Roll the beef into 8 balls; season and arrange on 2 baking sheets lined with foil, spacing them evenly apart. Using your palm, press the beef into 1/4-inch-thick patties.

Arrange the onion slices and chile around the patties on the baking sheet. Broil, 1 sheet at a time, until the patties are browned and cooked through, 4 to 5 minutes per side. Tent with foil to keep warm.

Transfer the patties and vegetables to a plate. Drain the liquid from 1 baking sheet. Place all the patties on the sheet. Top with the cheese. Broil until the cheese is melted, about 2 minutes.

In a bowl, mix the mayonnaise, sriracha, and the remaining 1 tsp. lime juice; season the sauce.

Build the burgers with the buns, sauce, patties (2 per burger), onion slices, and sliced chile. Serve with the green beans.