In a 2- to 3-quart pan over high heat, bring 4 cups water and 1/4 cup prepared Asian peanut sauce to a boil. Stir in 4 cups precooked dried white rice and 1 cup shredded carrots. Cover, remove from heat, and let stand until liquid is absorbed, 5 to 7 minutes.
Meanwhile, in a bowl, mix 3/4 pound thinly sliced fat-trimmed cooked tender beef (such as ribeye or tenderloin) and 6 tablespoons prepared Asian peanut sauce.
Spoon rice into bowls and top equally with sliced beef and 1/2 cup thinly sliced green onions. Add more prepared Asian peanut sauce to taste.