In a high-speed blender or wide mouth jar with an immersion blender, combine the sauce ingredients and blend until smooth. Set aside.
In a large, deep skillet with a tight-fitting lid or 3.5-quart braiser, layer the frozen rice, then the carrots, the white parts of the green onion, red bell pepper, and shrimp. Sprinkle the top with salt and pour the sauce over the top of the shrimp, trying to coat all of the shrimp in the sauce.
Place over medium-high heat, cover, and cook for 8 minutes. Uncover and give it a stir, then reduce the heat to medium-low, cover, and continue to cook until the shrimp is cooked through and the veggies and rice are tender, about 4 more minutes.
Remove from heat and give one last gentle stir to combine. Top with the green parts of the green onion and cilantro. Ladle into bowls and enjoy!