Preheat the oven to 400 degrees F and line a baking sheet with parchment or foil. Combine the oil and seasonings to make a paste, then toss the potatoes and carrots with half of the paste, arrange on the baking sheet in a single layer, and bake for 20 minutes.
Meanwhile, brown the ground meat in a skillet over medium heat, then drain off the fat and toss the meat, asparagus, and onion with the remaining seasoning mixture.
When the potatoes and carrots come out of the oven, add the meat mix to the baking sheet and give everything a good stir. Bake another 10-15 minutes or until the veggies are all fork-tender.