Heat a large skillet or pot over medium heat.
Caramelizing Method with Brown Sugar: Add the oil then add the brown sugar on top of the oil to caramelize the sugar. All of the sugar should be soaked in the oil. Keep looking at the oil and as soon about 90% of the sugar turns dark brown, then add the pigeon peas without its liquid, and gently stir for 30 seconds to completely brown the pigeon peas.
Add onions and ¼ tsp of salt, and stir gently for two minutes, until onions are translucent.
Add the peppers and stir for 2 minutes.
Add garlic and stir for 1 minute.
Add tomato paste and the remainder of seasoning (except the carrots) - oregano, parsley, scallions, thyme, hot pepper to taste, culantro, mushrooms, pumpkin, and Liquid Aminos (if you did not ad it in the earlier step). Gently stir into mixture thoroughly for 30 seconds.
Add ¼ cup of water, stir, cover pot, reduce heat and let simmer for 10 minutes so that all the ingredients will blend to a nice flavor. You may need to add a bit of water after 5 minutes to prevent sticking.
Add rice, ketchup, carrots, and 1 ¾ cup of water (see rice package for correct amount of water you need), stir, cover the pot, reduce heat and simmer for 30-40 minutes. (see rice cooking time on rice package).
Tip: You can also replace some of the water with the liquid from the canned pigeon peas.
Do not open the lid until after 25 minutes of cooking. You can check the water level then.