Tbh I'm not sure why this code doesn't work. If you want to add a target blank to your social links replace:
if($dribbble = avia_get_option('dribbble')) { echo "<li class='dribbble'><a href='http://dribbble.com/".$dribbble."'>".__('Follow us on dribbble', 'avia_framework')."</a></li>"; }
if($twitter = avia_get_option('twitter')) { echo "<li class='twitter'><a href='http://twitter.com/".$twitter."'>".__('Follow us on Twitter', 'avia_framework')."</a></li>"; }
if($facebook = avia_get_option('facebook')) { echo "<li class='facebook'><a href='".$facebook."'>".__('Join our Facebook Group', 'avia_framework')."</a></li>"; }
if($gplus = avia_get_option('gplus')) { echo "<li class='gplus'><a href='".$gplus."'>".__('Join me on Google Plus', 'avia_framework')."</a></li>"; }
if($linkedin = avia_get_option('linkedin')) { echo "<li class='linkedin'><a href='".$linkedin."'>".__('Add me on Linkedin', 'avia_framework')."</a></li>"; }
with:
if($dribbble = avia_get_option('dribbble')) { echo "<li class='dribbble'><a target='_blank' href='http://dribbble.com/".$dribbble."'>".__('Follow us on dribbble', 'avia_framework')."</a></li>"; }
if($twitter = avia_get_option('twitter')) { echo "<li class='twitter'><a target='_blank' href='http://twitter.com/".$twitter."'>".__('Follow us on Twitter', 'avia_framework')."</a></li>"; }
if($facebook = avia_get_option('facebook')) { echo "<li class='facebook'><a target='_blank' href='".$facebook."'>".__('Join our Facebook Group', 'avia_framework')."</a></li>"; }
if($gplus = avia_get_option('gplus')) { echo "<li class='gplus'><a target='_blank' href='".$gplus."'>".__('Join me on Google Plus', 'avia_framework')."</a></li>"; }
if($linkedin = avia_get_option('linkedin')) { echo "<li class='linkedin'><a target='_blank' href='".$linkedin."'>".__('Add me on Linkedin', 'avia_framework')."</a></li>"; }