Heat a large deep skillet or Dutch oven over medium-high heat and brown the ground beef until no pink remains, breaking it into small crumbles.
Add the diced onion, bell pepper, and garlic to the skillet and sauté for 5 minutes until the vegetables are softened.
Incorporate the tomato paste, chili powder, cumin, and smoked paprika, stirring constantly for 60 seconds to bloom the spices.
Pour in the diced tomatoes with their juices, beef bone broth, and dry chickpea pasta.
Bring the liquid to a light boil, then reduce heat to medium-low, cover the pan, and simmer for 10 to 12 minutes or until the pasta is tender and most liquid is absorbed.
Stir in the drained black beans and cook for 2 minutes until thoroughly heated.
Remove the pan from the heat and fold in the shredded cheddar cheese and Greek yogurt until the sauce is creamy and the cheese is fully melted.
Adjust seasoning with salt and pepper and serve immediately.