I finally have this working!

#+PROPERTY: header-args:emacs-lisp :var tar-file="bar.tar.gz" :exports none :file "results.txt"

#+NAME: tar-eg

#+BEGIN_SRC emacs-lisp

(format "> tar xzvf %s" tar-file)

#+END_SRC

#+CALL: tar-eg() :wrap example :exports none

#+CAPTION: =results.txt=

#+NAME: code__results

#+INCLUDE: "results.txt" :src text

I need to export to a separate file and also embed the results in the exported document. So above is what I came up with.