Hello Jasonargo,
Sorry for late reply to this,
You can remove the code from this file
JoomlaFolder\components\com_easydiscuss\themes\simplistic\frontpage.index.filters.php
LINE 25 until 40
<?php if($system->my->id != 0) { ?>
<li class="filterItem<?php echo $activeFilter == 'mine' ? ' active' : '';?>" data-filter-tab data-filter-type="mine">
<a class="mineFilter" href="javascript:void(0);">
<?php echo JText::_('COM_EASYDISCUSS_MY_POSTS' );?>
</a>
</li>
<?php } ?>
<?php if(EDC::isSiteAdmin() || EDC::isModerator()) { ?>
<li class="filterItem<?php echo $activeFilter == 'assigned' ? ' active' : '';?>" data-filter-tab data-filter-type="assigned">
<a class="mineFilter" href="javascript:void(0);">
<?php echo JText::_('COM_EASYDISCUSS_ASSIGNED_POSTS' );?>
<span class="label label-important label-notification"><?php echo $assignedCount; ?></span>
</a>
</li>
<?php } ?>
Hope this help.