Preheat oven: Firstly, turn the oven on to 350 degrees. Line baking sheets with a silicone baking mat or parchment paper. Set aside. Cream butter: Secondly, in a stand mixer with the paddle attachment cream butter and both sugars until light and fluffy, about 3 minutes. Add in the vanilla and egg and mix to combine.
Whisk the brown sugar and granulated sugar into the brown butter and then whisk in the eggs and vanilla extract. Set aside. In a large bowl, whisk the flour, baking soda, and salt together. Pour the wet ingredients into the dry ingredients, add the chocolate chips and toffee, then stir together with a large spoon or rubber spatula.
Beat for about 15 seconds, stir in the chocolate chips and espresso powder, and mix for 15 seconds longer. Prepare a cookie sheet with about 2 tablespoons of shortening (or use a nonstick spray). Using a 1-ounce scoop, or using a 2 tablespoon measure, drop the cookie dough onto the cookie sheet in dollops about 3 inches apart.
Preheat the oven to 375 degrees F (190 degrees C). Grease cookie sheets. In a medium bowl, cream together the margarine, white sugar, and brown sugar until smooth. Beat in the eggs one at a time, then stir in the vanilla. Sift in the flour, baking soda, salt, and cocoa powder; mix well.
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