Its not search tabs , That is two input box .

if you want to add input box in elgg

elgg_view('input/text', array(
    'name' => 'title',
    'id' => 'title',
    'value' => $vars['title'],
));

I will try it....... But then I would want it to link with search as it should be able to perform search capabilities.... Can you help me for its integration with search?

echo elgg_view('search/search_box');

echo elgg_view('search/search_box');

Actually I am a beginner, so i'd need bit more clarification...... Will this command run alone or have to integrate it with so other code? 

You need to create a plugin if you are modifying Elgg, see http://learn.elgg.org/en/1.11/guides/plugins.html

If you want a search bar on top of the page in the header,  you could add

elgg_extend_view('page/elements/header', 'search/search_box');

in the start.php

ok. Thank You.