Annex M.2 of IEC 62368-1:2014 requires batteries & cells to comply with the relevant IEC standard, such as IEC 62133(2013). If a battery and/or cell complies with IEC 62133-1:2017 or IEC 62133-2:2017, do they also need to comply with IEC 62133(2013)?
About five years ago IEC TC21/SC21A made a decision to split IEC 62133 into two standards, while at the same time also incorporating a number of improvements. In 2017, IEC 62133:2013 was replaced by the IEC 62133‐1:2017 (alkaline or other non‐acid) & IEC 62133‐2:2017 (lithium) structure. However, although IEC 62133-1 & IEC 62133-2 are the current standards for such chemistries, there also is the need for a transition period.
Please note that you reference IEC 62368-1:2014 (Ed No. 2), but IEC 62368-1:2018 (Ed No. 3) now also is available. IEC 62133, IEC 62133-1 and IEC 62133-2 all are listed in Annex M.2 of IEC 62368-1:2018 to allow for the transition.
If an AV/ICT product with a battery covered by the IEC 62133-x series is submitted for UL certification to UL/IEC 62368-1: 2014, a valid certification to IEC 62133-1 or IEC 62133-2 would be accepted for battery(ies) and cell(s) without also being compliant to the legacy IEC 62133(2013). The UL versions of IEC 62133-1 & -2 are expected to be published by the end of 2019, as is the UL version of IEC 62368-1:2018.