Cook rice: In a medium saucepan, bring broth to a boil. Add wild rice blend, reduce heat, cover, and simmer for 35–40 minutes until tender and liquid is absorbed.
Sauté veggies: While rice cooks, heat olive oil in a skillet over medium heat. Add onion and cook 3–4 minutes until soft. Stir in garlic and mushrooms, cooking another 5–7 minutes until mushrooms are browned. Season with salt, pepper, and thyme.
Combine: Fluff rice with a fork. Stir in mushroom mixture until well combined.
Serve: Garnish with fresh parsley and serve warm.