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Heat a pan on the stove and add the olive oil and butter; once the butter is melted, add onion and garlic and sauté until soft, about 15 minutes.
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Add in the chopped mushrooms, dried thyme, salt and pepper, and let cook until soft and browned, about 10 minutes.
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Remove the cooked onions, garlic and mushrooms and set aside.
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Add chicken broth and wine to the pan and bring to boil and cook until liquid is reduced by half.
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Reduce heat to low and add the onions, garlic and mushrooms back to the pan. Meanwhile, in a small bowl, mix together the flour and Greek yogurt. Add Greek yogurt and flour mixture to the pan and continue to cook over low heat until the mixture thickens.
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Season with salt and pepper to taste.
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Serve over pasta or egg noodles.