Set your oven to 400°F to warm up.
Toss together the potatoes, sweet potato, onion, and kielbasa slices on your sheet pan, drizzling everything with olive oil and seasoning with salt and pepper. Mix well so all pieces get coated.
In a bowl, combine olive oil, honey, brown sugar, minced garlic, salt, Dijon mustard, and thyme; whisk thoroughly to form the glaze.
Use some of this glaze to brush over the kielbasa pieces, saving about two tablespoons for after baking.
Bake the sausage and root veggies for 20 minutes, then add the broccoli florets to the pan.
Return the pan to the oven and continue roasting until the broccoli is tender and bright green, which should take roughly another 10 minutes.
Once done, remove the pan from the oven and drizzle the remaining honey garlic sauce over the sausage and veggies before serving. Dig in and enjoy!