Combine first 11 ingredients in a medium bowl; stir with a whisk until blended. Cut each tofu cake crosswise into 4 slices. Place tofu slices in soy sauce mixture; cover and marinate in refrigerator at least 2 hours.
Coat a large nonstick skillet with cooking spray; place over medium-high heat until hot. Remove tofu slices from marinade, reserving marinade. Add tofu slices to skillet; cook 2 minutes on each side or until browned. Remove from skillet. Set aside; keep warm.
Add reserved marinade to skillet; bring to a simmer over medium-high heat. Spoon noodles onto plates; top with tofu slices. Drizzle warm marinade over tofu and noodles.