Preheat oven to 350ºF (175ºC).
In a food processor, combine 2-3/4 cups all-purpose flour and 1 cup cubed unsalted butter. Pulse until the mixture is mealy and coarse.
Add 1 tsp salt and 1/2 tsp baking soda to the flour-butter mixture and pulse just enough to distribute.
Add 3/4 cup sugar, 1/2 cup brown sugar, 1-1/2 tsp vanilla extract, and the 2 chopped hard-boiled eggs to the food processor. Pulse briefly and repeatedly until the mixture just begins to come together; avoid overprocessing.
Transfer the dough to a mixing bowl and fold in the 12-oz semi-sweet chocolate chips and 3/4 cup toffee bits by hand until evenly distributed.
Line a baking sheet with parchment paper or a silicone baking mat (or lightly grease). Use a medium cookie scoop (about 1–1.5 tablespoons) to portion dough and place scoops on the prepared sheet about 2 inches apart.
Bake in the preheated oven for 13–15 minutes, or until the cookies are lightly browned at the edges.
Remove the baking sheet from the oven and let the cookies cool on the sheet for 5 minutes, then transfer the cookies to a cooling rack to cool completely.