Change Search box function on Homepage

On our website we have custom search choice where one choice is google and the other is our product part search data base. [login to view URL] Google is ending their custom search engine support at some point soon so we’ve been looking at alternatives. We have decided that the wordpress search engine will work for us well enough and have already implemented it in our sidebar… But we would still like to keep the homepage dual function box working. So what I would like is for the top choice that says text search to retrieve the same results that the sidebar search retrieves. I have attached the custom code from our main page for the search box and the code behind the wp search engine.