If your course or organization's home page has a list of embedded modules on it, you will need to refresh this "module list" after you make edits to the module titles or after you have added or removed modules in the Modules section of your site.
It is very simply to refresh your home page's module list:
Please note: The Modules List feature can only support up to eight modules at this time. Alternatively, you could use Design Tools' Accordian Panels and Tabs feature.