How to add publish date in wordpress rss
The main reason for not showing the publish date is that you use the rss instead of rss2
ex: www.your-website.com/rss instead www.your-website.com/rss2
If this is not satifies you you can modify the code that generates the rss.
..but: Warning! never write code in the wordpress core files!
Find this line:
<description><?php bloginfo_rss('description') ?></description>
Then, add this line:
<lastBuildDate>
<?php
echo mysql2date('D, d M Y H:i:s +0000', get_lastpostmodified('GMT'), false);
?>
</lastBuildDate>
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