On our internal site when Text/HTML Containers, that were set to not display were created, no Module Title was entered.  Now when a Search is done that lists that container the search displays Text/HTML as the title.   We went back in and changed all the container titles to descriptive names so the title that appears in the search has meaning but they still remain Text/HTML in the search results.  Everything that was created with a module title appears correctly in search results.

Any suggestions so I don't have to recreate all those modules?

Reindexing will work on modules that has been edited since the last reindexing.  When you edit the module title, that does not change the last edit date in Text/HTML module.  If you update it's content, then the last edit date will change.

A method that works is to delete all your previous indexed data first before you do the reindexing.

I've logged the issue here:
http://support.dotnetnuke.com/issue/ViewIssue.aspx?id=8596&PROJID=2