To troubleshoot this, temporarily change your theme to the default twentyfifteen theme. If tabs work then, the issue is with your theme. If not temporarily deactivate all other plugins. If the tabs work then, activate them one-by-one until the tabs break again to identify which plugin adds the incorrectly included jQuery script.
I can see a few possible problems with your site.
First I can see this line in your page source:
<script src="https://code.jquery.com/jquery-1.9.1.js"></script>
This indicates that your theme or a plugin is including an incorrect and outdated version of jQuery. Also scripts should only be included by the standard WordPress method of enqueuing.
Another problem is that the shortcodes are not being processed in the content. This can occur if your theme adds the content to the page after setting it as the value of a variable using something like:
$content = get_the_content();
where it should be using the do_shortcode function so the shortcodes will be processed:
$content = do_shortcode( get_the_content() );
Another issue I often see in custom themes is that the required wp-footer hook is not included in the footer.php (or other file) This is a required hook and many plugins (including Tabby Responsive Tabs) rely on this hook to enqueue their scripts. Check that this hook is included so the scripts can be enqueued.
