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1
Set the broiler to high. Arrange the sliced kielbasa on a foil-lined baking sheet. Broil for about 5 minutes, or until the edges are dark and crisped.
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2
In a large bowl, whisk together the eggs and milk, plus a good amount of salt and pepper.
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3
Heat the butter and 1 tablespoon olive oil in a pan over medium-high heat until butter is melted. Add the mushrooms and sage, and season with salt and pepper. Cook, stirring occasionally, until mushrooms are well browned and fragrant, 8 to 10 minutes. Set aside.
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4
Add remaining 1 1/2 tablespoons olive oil to the same pan and set over medium-high heat. Add the kale, and season with salt and pepper. Toss and cook until kale is just wilted, about two minutes.
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5
In a well-greased casserole dish, layer half the bread cubes, mushrooms, kale, kielbasa, and cheese. Then layer the whole deal again, ending with cheese. Pour the egg mixture evenly over the dish, filling in the crevices. Cover the dish with aluminum foil and stick it in the fridge overnight. Remove dish 20 minutes before baking.
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6
Preheat oven to 350u00b0 F. Bake strata with foil still on for 30 to 40 minutes, or until the mix is set and doesn't jiggle when you shake the dish; remove the foil and continue baking for 10 minutes more, allowing the top to brown. Remove from oven and slice into big ol' hunks to serve.