Heat the olive oil in a large pot or Dutch oven over medium-high heat.
Add the onion and garlic, sauté for 2 minutes until fragrant. Add the beef mince and cook, breaking it up, until browned. Stir in the shredded carrot and zucchini, cook for 2 minutes until slightly softened. Add the chopped red capsicum and cook for another 2 minutes.
Stir in the tomato paste and Cajun spices. Cook for 1 minute, stirring constantly.
Pour in the crushed tomatoes, kidney beans, and water (swish the cans clean if needed). Stir well to combine and bring the mixture to a simmer.
Add the dry pasta, stir to submerge it in the liquid. Let the mixture return to a gentle simmer.
Cover the pot, reduce heat to medium-low, and cook for 15-18 minutes, stirring every few minutes to prevent sticking. The pasta should be al dente and the sauce should be thick but still saucy.
Turn off the heat. Stir the pasta, smooth the surface, and let it sit for 3 minutes to finish cooking the pasta.
Serve immediately while hot and cheesy!