Heat 1 tablespoon butter and olive oil in a large skillet over medium heat.
Add red pepper flakes and mushrooms to the skillet. Sauté until mushrooms release their liquid.
Push mushrooms to the sides of the skillet and add 1 tablespoon butter and the minced garlic to the center of the pan.
Sauté garlic until fragrant, about 30 seconds.
Add white wine to deglaze the pan, scraping up browned bits in the bottom of the skillet. Continue to cook, stirring often until most of the liquid cooks off.