Chop the green onions and mince the garlic to prepare your ingredients.
Heat oil in a skillet over medium-high heat and season chicken breasts with salt and pepper.
Cook the chicken in the skillet until golden brown on all sides and cooked through.
Add the shrimp to the skillet and cook until they turn pink, about 3 to 5 minutes.
In a bowl, whisk together soy sauce, brown sugar, lemon juice, minced garlic, chicken broth, and red pepper flakes.
Pour the sauce mixture into the skillet and let it simmer for 5 to 7 minutes until it slightly thickens, stirring occasionally.
Mix cornstarch with water to form a slurry and stir it into the skillet to thicken the sauce further.
Serve the bourbon street chicken and shrimp hot over rice or noodles, garnished with chopped green onions.