Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
In a large mixing bowl, combine the ground turkey, ground beef, egg, finely diced onion, minced garlic, tomato paste, dried oregano, 0.25 tsp sea salt, and 0.25 tsp black pepper.
Gently mix the meatloaf ingredients by hand until just incorporated, ensuring you do not overwork the meat.
Shape the mixture into a compact loaf and place it on one side of the prepared baking sheet.
On the other side of the baking sheet, spread out the broccoli florets and sliced carrots.
Drizzle the vegetables with olive oil and season with the remaining 0.25 tsp sea salt and 0.25 tsp black pepper, tossing to coat evenly.
Roast in the oven for 25 to 30 minutes, or until the meatloaf reaches an internal temperature of 165°F and the vegetables are tender and slightly caramelized.
Remove from the oven and let the meatloaf rest for 5 minutes before slicing into thick portions to serve.