Display category under searched post

Hi, everyone. I’m using ajaxy-live-search plugin and I need display category to post, when anyone put a word in search form. I found this topic:

http://wordpress.org/support/topic/plugin-ajaxy-live-search-category-for-results?replies=2

but think, a code of plugin was changed a little bit.

Second question – I would like to display image for category when I am looking for the categories. How add this function?

Can you help me?

(sorry for my english)