exporting layers of audio from After Effects cs6 to Premiere / or Audition? Is this possible?

Help - I have an After effects project with multiple layered files and want to copy these to Premiere / Audition. For example I know if you select multiple video files from After Effects these can be pasted straight into Premiere intact - but this does not work with audio. I want to take existing layered audio files from After Effects to Audition / or Premiere but can't copy and paste - is there a simple solution for this?