Preheat oven to 400 degrees Fahrenheit (200 degrees Celsius).
Line a baking sheet with parchment paper and place salmon fillets on it.
Brush salmon with 2 tablespoons of teriyaki sauce.
Bake for 12 to 15 minutes until internal temperature reaches 145 degrees Fahrenheit (63 degrees Celsius).
Divide cooked brown rice between two bowls.
Arrange edamame, shredded carrots, cucumber, and avocado over the rice base.
Place one cooked salmon fillet in each bowl.
Drizzle remaining teriyaki sauce over the bowl components.
Garnish with sesame seeds and sliced green onions.