Hi Joachim,
You can customize a bit here:
Go to file: /templates/gk_academy/layouts/default.php
Under the code which renders the search module, put the code for the language position, it will look like this:
<?php if($this->API->modules('search')) : ?> <!-- #gkSearch -->
<div id="gkSearch">
<a href="<?php echo JRoute::_('index.php?option=com_search'); ?>">
<span class="ion-search"></span><span class="element-invisible">gkSearch</span>
</a>
</div>
<?php endif; ?>
<?php if($this->API->modules('lang')) : ?> <!-- #gkLang -->
<div id="gkLang">
<jdoc:include type="modules" name="lang" style="xhtml" />
</div>
<?php endif; ?>
then go to Backend >> Extensions >> Modules >> assign language switcher module to 'lang' position
You may also need to customize style for this language module.