Add the soy milk and coconut milk to the pan of veggies followed by the nutritional yeast and cajun seasoning and simmer. Mix together cornstarch with ¼ cup water until smooth. Add to pan and stir together. Let it cook for 3-5 minutes to thicken. Taste and add salt and pepper.
To finish up the vegan cajun pasta recipe, add the cooked pasta to the pan and toss to coat it with the sauce. Serve up the spicy pasta topped with the blackened chickpeas.