If any person is convicted of a violation of section 53a-70b of the general statutes, revision of 1958, revised to January 1, 2019, or section 53a-59, 53a-59a, 53a-59c, 53a-60, 53a-60a, 53a-60b, 53a-60c, 53a-62, 53a-63, 53a-64, 53a-64aa, 53a-64bb, 53a-64cc, 53a-70, 53a-70a, 53a-70c, 53a-71, 53a-72a, 53a-72b, 53a-181, 53a-181c, 53a-181d, 53a-181e, 53a-182, 53a-182b, 53a-183, 53a-223, 53a-223a or 53a-223b, against a family or household member, as defined in section 46b-38a, the court shall include a designation that such conviction involved family violence on the court record for the purposes of criminal history record information, as defined in subsection (a) of section 54-142g.