Hi Jeff,
I had the same issue with a client last year. In a nut shell a soft 404 error is when the page looks like a regular 404 error web page but the http response header returns 200 OK. So search engines think that the page is okay (a regular webpage) but there is no content on that page etc.
Your webteam will need to identify how they are producing the soft 404 error pages (with 200OK header responses) and change that set-up in the CMS. Or, if these are old pages that are no longer required and are no longer driving traffic then archive/delete them.
Good luck,
Davinia