Pre-heat the oven to 425 degrees Fahrenheit.In a small bowl mix olive oil, garlic powder, onion powder, smoked paprika, salt, and pepper. In a medium sized bowl add sweet potatoes and half of the oil mixture. Stir to coat sweet potatoes well.
Add sweet potatoes to the baking sheet and roast for 15 minutes. In the same bowl add sliced sausage, broccoli and the remainder of the oil mixture and stir well.
Take sheet pan from the oven and add broccoli and sausage to sheet pan, making sure to spread the sausage and vegetables evenly on the sheet pan. Bake for another 15 minutes. Take out of oven and serve. Enjoy.