Combine sesame seeds and 1/4 teaspoon salt in a large bowl. Add the tofu cubes; toss gently to coat.
Combine oils in a large nonstick skillet over medium-high heat. Add tofu; stir-fry 5 minutes or until tofu is golden. Remove tofu from pan; keep warm.
Return pan to heat; coat with cooking spray. Add mushrooms; stir-fry 3 minutes or until mushrooms begin to brown.
Add asparagus; stir-fry 4 minutes or until asparagus is crisp-tender. Reduce heat to medium; stir in green onions.
Combine broth and next 4 ingredients (broth through garlic sauce). Add broth mixture to pan; remove from heat (sauce will thicken). Add tofu and remaining 1/4 teaspoon salt; toss gently to combine. Serve over rice.