Make the Basmati Rice: Rinse the rice thoroughly. In a pot with a good fitting lid, bring the rice and 3 cups of water to a simmer. Reduce the heat to maintain a low-gentle simmer. Cover the rice and cook until the water is absorbed, (about 20 minutes). Remove the pot from the heat and keep the rice covered until needed.
Make the Red Beans: In a blender, puree 3/4 of the rinsed beans in the 4 cups of broth until smooth. Add the remaining beans to the pureed mixture but do not blend.
Cut the sausages in quarters lengthwise then cut them crosswise into 1/8” pieces and reserve.