Melt butter in a medium pan over medium heat. Heat butter until milk deposits separate and become amber. Stop cooking and cool.
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Mix flour, baking powder, soda, and salt in a medium basin. Set aside.Mix brown butter, brown sugar, sugar, vanilla extract, and eggs in a large bowl. Whisk until smooth.
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Mix the dry ingredients with a rubber spatula until they are almost completely incorporated into the liquid. The chocolate chips and chunks of toffee should be added.
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Preheat oven to 350F. Parchment two cookie sheets. Rest the dough for 10 minutes while the oven heats.Use a big cookie scoop to scoop dough.
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Per cookie sheet, place 6 dough balls.Bake 13-15 minutes. Cookies are done when golden brown. After 4 minutes on cookie sheet, move to cooling rack.
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