Can you point us to some information about the VITA Google Search you are using? A URL or additional information would be helpful to understand what you are looking to do. I am unfamiliar with it, at this point, but would like to look at more information on it, if possible.
The link you provided is to an XSLT which is a stylesheet for an XML file or document. Typically, something like that is used to style XML provided by a Google Search Appliance, which I think you are using. I am not sure what VITA Google Search is, though, after looking into it a little, it looks like you may have a hosted Google Search Appliance (GSA) through VITA, a tech organization.
From what I have been able to read through a little research, you upload the XSLT to the GSA so it can serve the results using the XSLT styled page. Does this sound accurate?
Do you have an actual search page through nsu.edu or do you have a separate application URL you hit for the search like search.nsu.edu?
From what I can tell this page is presented by the GSA as the results page which would require the template to be in the XSLT and added to the appliance through the administrative interface. For this, you could view the source of one of the pages with the structure you need, and place that source in the XSLT.
You might need to check with the team that provides the search appliance, though for the options available.
The coding in that file is definitely what styles the search, but I believe the actual results page is created by the Google Search Appliance using that XSLT you create. I could be wrong, but I believe the Google Search Appliance not only indexes the pages for the website, but also actually displays the results page - not the regular website.
There might be a short cut or different approach you can take for it, but you will have to talk to the team that manages or implements the GSA.