I found a module called Filebrowser for this.
Allows site administrators to expose a particular file system folder and all of its subfolders with a fancy FTP-like interface to site visitors. File metainformation (via descript.ion and files.bss) is supported. The module also allows these metafiles to store special content, which can be parsed with a callback. If no callback is specified in the file, only the description will be fetched.
This is the exact module what I was looking for. Using this module I could display all my exported files. Here is the screen-shot.
Additionally we can Delete the files and also download the selected items as an ZIP archive from here itself.
Hope this post helps someone.