Heat olive oil in a large skillet over medium-high heat. Add sausage and cook, stirring until browned and crumbled (5–7 minutes). Remove and drain on paper towels.
Return skillet to medium heat. If sausage rendered little fat, add a touch of oil. Add onions and carrots, season with salt and pepper, and cook over low heat for 15–20 minutes, stirring occasionally, until vegetables are tender.
Add garlic and cook for 2 more minutes.
Push vegetables to one side and add tomato paste. Stir constantly, allowing it to brown and darken to a rust color for deeper flavor.
Return sausage to the skillet. Stir in ½ cup water and tomato sauce. Season with salt and pepper. Simmer uncovered for 30–45 minutes, or up to 2 hours for deeper flavor.
Meanwhile, bring 3 cups water to a boil in a saucepan. Slowly whisk in polenta. Reduce heat and cook, stirring, until thickened (about 5 minutes). Stir in Parmesan cheese. Cover and set aside.
To serve, spoon polenta into bowls, top with sausage ragu, and garnish with extra Parmesan and parsley if desired.
Notes
Sausage Options: Choose from pork, beef, turkey, or a combination. Ground meat can be substituted and seasoned with Italian herbs.Browning Tomato Paste: This adds deep, rich flavor. Cook until the color darkens from red to a rust color.Polenta Tip: Avoid over-salting; Parmesan adds plenty of salt on its own.
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