Place tofu between 2 flat plates. Weight the top with a heavy can. (Sides of tofu should be bulging slightly but not cracking.) Let stand 45 minutes; discard liquid. Cut tofu into 1/2-inch cubes.
Prepare rice according to package directions, adding 1/2 tsp. salt.
Meanwhile, combine vegetable broth and next 7 ingredients in a medium bowl, stirring well. Add tofu, and toss to coat. Let stand 10 minutes. Remove tofu from marinade, reserving marinade.
Heat oils in a nonstick skillet or wok over high heat 1 minute. Add tofu, and stir-fry 4 to 5 minutes or until browned. Remove tofu. Add broccoli and carrot sticks; stir-fry 2 minutes. Add reserved marinade, and bring to a boil. Cook, stirring constantly, 2 minutes or until thickened; stir in cooked tofu. Serve over hot cooked rice. Sprinkle with chopped peanuts. Garnish, if desired.