Preheat oven to 350 degrees. Line two baking sheets with parchment paper and set aside.
In the bowl of a stand mixer, add sugars and softened butter. Beat of medium until creamed together, about 3 minutes. Add in eggs, one at a time. Add vanilla extract and honey and beat until combined. In a separate bowl, whisk together flour, baking soda, corn starch, and salt. Add to butter mixture and mix just until a dough forms.
Using a cookie scoop, scoop dough into even-sized balls. Place onto prepared baking sheets, 2 inches apart. Place into preheated oven and bake until the edges turn golden brown, about 8 minutes.
Remove from the oven and cool on the baking sheet for 10 minutes and then transfer to a cooling rack to cool completely. Drizzle with honey before serving.