  I will show, via effective field theory (EFT) techniques, that obtaining an
observationally consistent relic density while evading stringent direct
detection limits and maintaining $h_{125}$ phenomenology in an extended Higgs
sector can be easily achieved. I will then map such an EFT to the low energy
limit of the NMSSM with the Higgsinos integrated out. Both the singlino and the
singlet-like CP-odd and even scalars in the NMSSM may play a relevant role in
such a scenario, while being difficult to probe via conventional searches. The
singlet sector of the general NMSSM can be mapped on to a 2HDM+S, and I will
discuss prospects of probing this at the LHC using signatures such as
mono-Higgs and mono-Z. This proceeding is mostly based on Refs.
arXiv:1712.09873 and arXiv:1808.02667.
