In a small bowl, whisk together honey, soy sauce, garlic, and vinegar. If you prefer a thicker sauce, mix cornstarch and water separately, then add to the honey mixture. Set aside.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat. Add sliced sausage and sauté for 3–4 minutes, until browned and slightly crisp. Remove from pan and set aside.
In the same skillet, add another tablespoon of olive oil. Toss in the broccoli florets and cook for 3–5 minutes until they become bright green and tender-crisp. Remove from skillet and set aside with the sausage.
Add the shrimp to the same pan, seasoning lightly with salt and pepper. Cook for 2–3 minutes per side, until pink and opaque.
Reduce heat to medium and return sausage and broccoli to the skillet. Pour the honey garlic sauce over the mixture. Stir well to coat everything evenly. Simmer for 2–3 minutes until the sauce thickens slightly and all ingredients are heated through.
Serve hot over steamed rice, noodles, or cauliflower rice for a low-carb option. Garnish with sesame seeds or sliced green onions for extra flavor.
