In Avid mode Songster produces an Avid ALE text file to be imported into the Avid.
In your Avid editing application make sure that a bin window is currently selected. Then select Import from the File menu and navigate to the saved ALE file.
To complete the process you need to import the audio media into the Avid. Select the newly imported, but still offline clips in the bin, the choose Batch Import from the Clip menu.