Mix softened butter, cookie butter, brown sugar, and cinnamon in a medium bowl with an electric mixer into a creamy paste.
Grease and line two 9x5 inch loaf pans with parchment paper.
Deflate the dough and pull it from the bowl onto a lightly floured surface. Weigh the dough on kitchen scales and cut it into two equal pieces.
Take one piece and use a rolling pin to roll it into a rectangle measuring around 11x14 inches (27x35 cm rectangle).
Dollop half the cookie butter mixture over the rectangle in little pieces. Use an offset spatula to spread it out, leaving a ½ inch (1cm) border around all the sides.
Roll it up, from the long edge of the dough into a log, jelly roll style. Place it in the fridge for 15-20 minutes to chill. Repeat with the other dough piece and the remaining filling.
Once chilled, slice a log in half lengthwise with a sharp knife to expose the filling. Take the top two ends and fold them over. Lift the left half over the right half, then the right over the left, and repeat down, exposing the cut sides and buttery layers of biscoff spread filling. When you reach the end, tuck the dough underneath to compact the loaf.
Place the braid into a prepared loaf pan. Repeat the process with the second half of the dough. On top of the twisted loaf, press pieces of broken biscoff biscuits.
Loosely cover and let the babkas undergo a second rise until they nearly double in size, around 1-2 hours. The rising time depends on room temperature.