You will need to find out the mechanism that makes the other script run, and then adapt that mechanism to make your script run as well.

As you mention cgi-bin, maybe the script is just available at the same URL as the "original" script, except under the new name. Have you tried opening that URL?

This is mostly a configuration issue that your organisation should be able to solve itself without external input. There is very little help that we can provide from the outside because most of your setup is highly specific to your organisation.