01 - Melt the butter in a medium saucepan over medium heat. Continue cooking, swirling the pan occasionally, until the butter foams, turns a deep golden color, and releases a nutty aroma, approximately 5 to 7 minutes. Immediately pour the browned butter into a large mixing bowl and allow it to cool for 10 minutes.
02 - In a separate medium bowl, whisk together the all-purpose flour, baking soda, and fine sea salt until evenly distributed.
03 - Add the packed light brown sugar and granulated sugar to the cooled brown butter. Beat vigorously until the mixture is smooth and well blended. Add the eggs one at a time, mixing thoroughly after each addition. Stir in the pure vanilla extract, honey, and caramel sauce until the mixture is uniform and silky.
04 - Gradually add the dry ingredient mixture to the wet ingredients, mixing gently until just combined and no dry streaks remain. Fold in the chocolate chips or chunks and toffee bits using a rubber spatula, being careful not to overmix.
05 - Cover the bowl tightly and refrigerate the dough for a minimum of 1 hour, or up to 24 hours, to allow the flavors to deepen and to prevent excessive spreading during baking.
06 - Preheat the oven to 350°F (175°C). Line two baking sheets with parchment paper and set aside.
07 - Scoop 2-tablespoon portions of the chilled dough and place them onto the prepared baking sheets, spacing each mound approximately 2 inches apart to allow for spreading.
08 - Bake for 11 to 13 minutes, rotating the sheets halfway through, until the edges are set and golden but the centers still appear slightly soft and underbaked.
09 - Remove the baking sheets from the oven and immediately sprinkle the tops of each cookie with flaky sea salt. Let the cookies rest on the sheets for 5 minutes to set, then transfer to a wire cooling rack to cool completely.