For a helpful summary of the UK legal position on discrimination towards employees due to their sexual orientation, gender identity or gender reassignment, see this CIPD guidance, which also includes recommendations on promoting LGBT+ inclusion at work.
Advance HE have published guidance related to advancing LGB equality for staff and students in higher education. This includes the legislative framework; how to identify and address homophobic behaviour; and methods of developing and sustaining peer support mechanisms for staff and students.
LGBT+ at Work: A podcast mini-series (with transcript) focusing on the experience of LGBT+ professionals, the challenges they’ve faced and the role they believe HR can play in developing inclusive workplaces.
LGBTI+: pride and support at work: Acas podcast (with transcript) focusing on the importance of organisations supporting their LGBTI+ communities and what practical steps they can take to become a more diverse and inclusive workplace.