Preheat oven to 400 degrees Fahrenheit and line a baking sheet with parchment paper.
In a large bowl, combine ground meat, breadcrumbs, egg, garlic powder, onion powder, salt, and pepper until well incorporated.
Shape the mixture into 1.5-inch meatballs and arrange them on the prepared baking sheet.
Bake the meatballs for 15 to 18 minutes until the internal temperature reaches 165 degrees Fahrenheit.
Prepare the goddess sauce by blending avocado, Greek yogurt, lemon juice, parsley, and garlic in a food processor until smooth.
Transfer cooked meatballs to a bowl and toss with barbecue sauce until thoroughly coated.
Divide cooked quinoa, broccoli, and carrots among four containers.
Place meatballs in each container and drizzle with the avocado goddess sauce.