Select a large heavy-bottomed pot and bring 8 cups of water and salt to a boil, covered. Once boiling, add the rinsed rice and bring it back to a boil on high heat uncovered for about 5-7 minutes, or until the rice has slightly softened.
Drain the rice in a colander, rinse with warm water, and set it aside.
Add 2 tablespoons of oil to the same heavy-bottomed pot.
Begin layering the partially cooked rice, the carrot mixture, and the lamb pieces until everything is evenly layered inside the pot.
Using a ladle, evenly pour 2 cups of lamb broth over the rice mixture.
Place the lid over the pot and cook the rice on medium-high heat for about 5 minutes before lowering it to medium-low and continue to cook for another 40 minutes.
Remove the pot from the heat and allow to rest for 5 minutes before serving.
Place the rice and carrot pilaf on a serving platter, garnish with slivered pistachios and almonds, and serve hot.