Help add module search on main menu

I am currently using version T3_blank _j25 I've added a module search in position mainnav but not displayed front-end page.
Example: http://www.jakeauerbachfilms.com/ module search display like this

I want to display a small image on the menu in position mainv, how to do.
Example: logo T3 on menu of website http://t3-framework.org/
I look forward to the reply.