Redirect and Auto-Fill Search Box, Display Results Page

[shoogies]

From this website:

http://www.ultimatetangytangerine.com/

I would like to link to another website, autofill the product searchbox and display the results. This is the website i would like to link to and auto search:

https://healingcenter.my90forlife.co...egory=Products

The goal is to link to a page displaying all the products that come up when you search the term "tangy".

As you can see on the first website i tried creating a form to pass the search parameters to the second website but without success...the "tangy" products do not show up when you complete my form and the page is not displaying correctly...

Any help is greatly apprecitated