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Preheat oven to 425F
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Melt 2 tbsp butter in a large skillet over medium heat and add the onion. Add a pinch of Kosher salt and cook for about 25 minutes, stirring occasionally, until dark brown
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Meanwhile, grate the sweet potato and turnip
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When the onion is ready, deglaze with balsamic vinegar and stir for 1-2 minutes or until most of the liquid has evaporated
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Combine sweet potato, turnip, 2 eggs, yogurt, caramelized onion, garlic, smoked paprika, and parmesan in a large bowl
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Spread mixture evenly on a baking sheet lined with parchment paper, about 1 inch thick
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Create six pools using the back of a spoon
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Place in the oven for about 30-35 minutes
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Remove from the oven and crack an egg in each of the pools
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Optional: Decorate with chopped kale
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Place back in the oven for an additional 15-25 minutes, depending on how you prefer your eggs
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Monitor closely
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Done!