More than likely the Quran playing in the background is not allowing you to fall into a deep sleep. You may want to just listen to part of certain recitation that appeal to you the most before going to bed.

Also, contrary to popular belief among certain community, the primary purpose of the Quran is to recite it and ponder upon its meaning, and not to just listen to it for entertainment. If one is having sleeping issues then they may want to have a discussion with their doctor to see whether any medical condition or certain things in the environment that are responsible for keeping them awake.