HSA is through my husband's employer, Turbotax indicates that they see that there was a break in my HDHP coverage in the HSA reporting section. Where can I fix this?

Take a closer look at the question on the screen just prior to the one telling you there was a lapse in coverage.

If both you and your spouse are covered under the same family plan, then the person with the HDHP in their name will indicate they had a family plan.  The other person will indicate they had None because the HDHP was not in their name.