In your portal, you can have a similar configuration as in the section pzStudioHeaderTools if you want a similar search functionality as in designer studio. Also, ensure that the work items have been indexed so that they show up in the search.
I found solution. we need to add new case type to Cases&Data tab in Edit Application page. The new case must be in fisrt line, it can not be show in Create Case Menu and implementation class must be your root class.