Drizzle the oil into a large skillet on medium-high heat. Add the onions and sauté for about 5 minutes.
Add the garlic and saute about 5 minutes watching so that the garlic does not burn. Remove from heat.
While the onion is sauteeing cook the rotelle pasta as directed on the package until cooked al dente.
Drain the pasta and set aside.
To a large bowl add the cooked onion and garlic, drained kidney beans, the drained (or fresh) corn, diced tomatoes, tomato paste, vegetable broth, and spices. Stir until well mixed.
Add the cooked pasta and lightly toss until well incorporated.
Lightly oil a 9"x13" baking dish.
Pour the chili pasta mixture into a 9×13 dish.
Spread it out evenly with a spatula and sprinkle with the vegan cheese.
Place in preheated 350 degree oven and bake for 20 minutes.
Spoon into serving dishes at the stove or at the table.