The latest version 0.21 of the Tag Groups plugin features a new shortcode that creates an accordion instead of tabs:
Tools and Services
The options are documented in the settings. As usual, please post any support requests on the official support forum.
Photo by Liz Henry
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Organize your tags in coherent groups and tidy up your tag cloud! Display your tags under tabs or in an accordion.
You will never want to go back to the times when your tags were all over the place.
Supercharge your tags! Tag your posts on two levels with tag groups. Filter your posts on the frontend. Let your visitors search in real time by tags and groups.
Go directly to your first, latest or a random post just by adding some magic words to your site's URL. Search posts by author, or category, or something else. Or combine a time frame with search parameters.