Bring a large pot of salted water to a boil. Cook the orzo according to package directions. Drain and reserve.
Heat a large saucepan over medium-high heat. Add the oil and the lamb. Stir to break up the lamb. Stop stirring and allow the lamb to brown, about 7 minutes, stirring only occasionally. Add the coriander, cumin and garlic. Cook until aromatic, about 1 minute. Add the tomatoes and hot sauce. Cook to break the tomatoes down, about 2 minutes. Stir in 1 cup of water and ½ cup of the mint. Simmer for 10 minutes or until the sauce thickens. Stir in the orzo.
Taste and adjust seasoning with salt and pepper. Divide between 6 bowls and sprinkle with remaining mint.