To use the power of the Minimal and Flat themes you need to set up another module in the position where you would like to show the result tiles. This module called AJAX Live Search results, and also can be found in the modules list, usually in the first place. There is no any special options of it, just show the Live Search where to put the results. In this little tutorial you will see the steps of how to configure it, after successfully configured the main module of the Live Search.
Follow these few steps to can setup the result module. If you miss this, an alert message will warn you on the frontend to do this properly.