Preheat your oven to 400°F and line a rimmed baking sheet with parchment paper for easy cleanup.
Pat the chicken drumsticks thoroughly dry with paper towels, then toss them in a bowl with the avocado oil, sea salt, and black pepper.
In a separate small bowl, whisk together the tomato puree, apple cider vinegar, maple syrup, smoked paprika, garlic powder, and onion powder to create the BBQ glaze.
Place the chicken on the prepared baking sheet and roast for 20 minutes.
Remove the tray from the oven and brush the chicken drumsticks generously with the BBQ glaze on all sides.
Return the chicken to the oven for another 10 to 15 minutes until the internal temperature reaches 165°F and the glaze is tacky and caramelized.
While the chicken finishes roasting, steam the broccoli florets over boiling water for 5 minutes until they are tender-crisp.
Serve the glazed chicken legs immediately alongside the steamed broccoli.