Ok, thank for pointing this out.
It's quite easy to fix, just edit the resources helper file, in the module 'includes' folder, for example for Featured Items Pro it will be the file 'includes/modFeaturedItemsProResourcesHelper.php'
Edit the line
$where = 'a.published = 1';
This is usually line 85, although for Featured Items Carousel it is line 83, and for Mod News Tab it is line 96.
This should be edited to
$where = 'a.published = 1 AND ( a.extime = '.$db->Quote($nullDate).' OR a.extime >= '.$db->Quote($now).' )';
I will add this to the next official release of each of the modules, it should have been in there, it just slipped through somehow.
