In a stand mixer fitted with a paddle attachment, or using a hand-held mixer, beat the room-temperature butter and cream cheese together until well combined, approximately 3 to 4 minutes. Scrape the sides of the bowl periodically during mixing.
Add the confectioners’ sugar and vanilla extract to the butter and cream cheese mixture. Begin mixing on a low speed to incorporate the sugar, then increase to medium-high and continue beating for an additional 3 minutes until the buttercream is smooth and creamy.
Fold in the crushed Biscoff cookies, mixing for about one minute, or until they are fully integrated into the buttercream.
Spread this buttercream evenly over the chilled Biscoff layer in the baking pan.