Hi, yes you can do that by modifying the module template file. Please copy this file : [root]/modules/mod_latestnewsplusdate/tmpl/default.php to this folder [root]/templates/your_active_template/html/mod_latestnewsplusdate/
Then modify the line 153
<a href="<?php echo $item->link; ?>" class="latestnews">
to this
<a href="<?php echo $item->categblog;?>"><?php echo $item->category_title; ?></a> - <a href="<?php echo $item->link; ?>" class="latestnews">