Step 1

Heat the oil in a 10-inch high-sided skillet over medium-high heat until shimmering. Add the onion and 1/2 teaspoon of the salt, and sauté until beginning to brown and soften, about 5 minutes. Stir in the bell pepper and garlic, and cook for 2 to 3 minutes until bell peppers begin to soften and garlic is fragrant. Add the ground chuck, pepper, and remaining 1/2 teaspoon salt. Cook, breaking up the meat into small pieces with a wooden spoon, until browned and no pink remains, 5 to 7 minutes.

Step 2

Stir the pasta into the beef and onion mixture. Pour in the chicken broth, cover, and bring to a boil. Uncover and cook for 20 to 25 minutes, stirring occasionally, until the pasta is cooked and most of the liquid is absorbed. Meanwhile, arrange a rack in the middle of the oven and heat the broiler to high.

Step 3

Stir half of the grated provolone and pepper jack cheeses into the pasta. Sprinkle the remaining cheese over the top. Broil until cheese melts and turns golden-brown, 2 to 3 minutes.