Per
the NYS website: https://www.ny.gov/combating-sexual-harassment-workplace/combating-sexual-harassment-frequently-asked-questions#for-employers
Q1. What type of
records must employers maintain to verify compliance?
A1. No signed acknowledgement of having read the policy is required, but
employers are encouraged to keep a signed acknowledgement and to keep a copy of training
records. These records may be helpful in addressing any future
complaints or lawsuits.
NYC
has separate requirements:
https://www1.nyc.gov/site/cchr/law/sexual-harassment-training-faqs.page
12. What documentation is an employer required to
maintain regarding the training?
NYC
Local Law 96 (2018) requires that employers keep a record of all
trainings for at least three years. Such records must be made available for
Commission inspection upon request. This record may be a certificate or a
signed employee acknowledgement. The records may be paper or electronic.