There's a simple tweak for this;
Open ./reputations.php file and find;
PHP Code:
if($mybb->settings['negrep'])
and Change it to;
PHP Code:
$group = "3,4,6,8";
$groups = explode(",",$group);
if($mybb->settings['negrep'] || in_array($mybb->user['usergroup'],$groups))
You may Change 3,4,6,8 to the Usergroup IDs you wish to allow them to be able to send Negative Reps. But its a core file edit, if you upgraded your forum
with this file changed then you'll need to edit the same file with the same procedure after Upgrade.