Getting Your Kitchen Ready
Preheat your oven to 350°F.
Line a baking sheet with parchment paper.
Making the Dough
In a large bowl using an electric mixer, beat the softened butter and confectioners' sugar together on medium-high speed for about 2 minutes until pale and fluffy.
Add the vanilla extract and beat for another 30 seconds until smooth and combined.
Turn the mixer speed to low and gradually add the flour. Mix just until no dry flour streaks remain. Do not overmix.
Turn off the mixer. Using a sturdy spatula, gently fold in the chocolate morsels and toffee pieces until evenly distributed.
Shaping the Cookies
Scoop about 1 tablespoon of dough and roll between your palms into a smooth ball (about 1 inch across).
Place each ball on the prepared baking sheet, leaving about 1 inch of space between them.
Use your palm or the bottom of a glass to gently flatten each ball to about 1/2 inch thick.
Optional: Chill shaped cookies in the refrigerator for 5-10 minutes to help them keep their shape while baking.
Baking
Bake for 12-15 minutes, or until the edges appear firm and just starting to turn golden. The centers may look slightly soft.
Remove from oven and let cookies rest on the baking sheet for 5 minutes.
Transfer cookies to a wire cooling rack using a thin spatula and let cool completely.
Repeat with remaining dough if baking in batches.