Heat a skillet over medium-high heat and add 1 teaspoon of the oil. Once the oil is hot, add the onion and a pinch of the salt, and cook until the onion turns translucent, about 3 minutes. Add the chickpea mushroom mixture and break it up with a spatula, then drizzle on the remaining teaspoon of oil. Cook for 3 to 6 minutes, stirring, and reduce the heat, if the mixture starts to scorch.
Add Cajun seasoning, thyme, bell pepper, and another pinch of the salt, and cook 1 minute. Reduce the heat to medium, then add the hot sauce and a splash of water to deglaze the pan. Add the cooked rice and remaining salt. Mix well, cover, and cook 1 minute or so to heat through. Let the mixture sit off of the heat for 3 to 4 minutes, then fluff. Garnish with green onion and lime juice, and serve and enjoy! Serve as-is, with vegan sausages, with a side salad, or however else you like!