Start by heating your oil in a large pot or dutch oven, on the stove, over medium heat.
While the oil is heating, prepare your veggies. Dice your onions, scrub and cut the carrots into 1/4 inch rounds, and mash the garlic.
Once the oil is hot, add in the prepared vegetables, stirring often until the onions start to soften. This should take abut 5 minutes.
Next, add in the beef and cook until no pink remains, making sure to break up the meat as you go. This should take about 10 minutes.
Then, add in a generous pinch of salt (approximately 1 teaspoon) and black pepper.
Stir in the chili powder and paprika, and cook for about another minute.
Next, add the pasta, broth, greek yogurt, and ketchup to the pot, stirring everything to combine.
Bring your mixture to a gentle boil over medium-high heat and simmer for about 5-8 minutes, until the pasta is al dente, making sure to stir often.
Once the pasta is al dente, remove the pot from the heat. Stir in your shredded cheese until it's nice and melted.
Plate your pasta, add garnishes of choice, and enjoy!