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Preheat oven to 325 degrees farenheit.
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Line 3 baking sheets with parchment paper or spray with baking spray.
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In a large bowl, using an electric mixer, cream the butter and sugars until light and fluffy.
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Add the eggs, vanilla, and espresso powder.
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Mix well, stopping once to scrape the sides and bottom of the bowl.
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Sift together the flour, cocoa powder, baking soda, and salt.
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Mix into the creamed butter mixture, scraping again. Stir in the toffee pieces and chocolate chips.
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Scoop the cookie dough using a cookie scoop, so that they are about the size of a golf ball, arranging them at least 2 inches apart.
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Bake until the cookies are just flat, 16 to 18 minutes, turning and rotating the baking sheets as necessary for even baking.
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Let cool about 10 minutes before transferring from the baking sheet to the cooling rack. Once cool, store at room temperature in an airtight container for up to 3 days.