As many sources state on the internet, you need to have your app Sandboxed to be able to deploy it in the App Store.
Furthermore, it is impossible to use the access
It is quite surprising for an app from the App Store to not be sandboxed.
If you do not develop a competing app maybe you could contact them directly. Maybe they will tell you how they've done it. You might also get your answer in a shorter amount of time as (at least in my view) not many developers would have done this.
http://www.irradiatedsoftware.com/about/