In one of my website i used SEARCH token , when i'm trying to search anything with site option activated  it's going to home page only. How can i get the proper search result?

have a look at this tutorial:
How to Setup and Configure the DotNetNuke Core Search


Quick steps to check:

Go to the host menu / schedule - make sure the search schedule is enabled

Go to the admin menu / pages

Check a search results page is available, and view the page

A search results module should be placed on that page

THANKS