Add teriyaki sauce ingredients to a bowl, then simmer in a very small sauce pan for 2 minutes. Add to a jar and set aside. If you like your meal extra saucy, double the recipe!
Cook rice with 2 garlic cloves, thyme, and a pinch of salt. Keep warm and set aside.
Season your shrimp in a bowl. Warm a pan over medium-high heat. Add oil, then butter. Add shrimp. Let cook for 2-3 minutes undisturbed, then flip/shake the pan and let cook another 2-3 minutes. Remove shrimp to a bowl and set aside.
Lower the heat to medium. Add broccoli, and a tinge more avocado oil if needed. Cover for about 2 minutes so that the broccoli steams, shaking the pan or mixing halfway through.
Add shrimp back, along with teriyaki sauce. Mix. Cover again, and let cook for about 2-3 more minutes.
Add rice to a bowl, add shrimp/broccoli mix, top with sesame seeds, fresh green onions, and extra teriyaki sauce!