There’s a little backstory here. Take a seat, grab a cup of coffee.
LGBT(QIAP)+, as you probably realize, is long, unwieldy, and often leaves marginalized peoples out. It also tends to fetishize the L, prioritize the G, criticize the B and forget the T+.
An alternative, GS(R)M was proposed. Proposed in 1966, it stood for Gender, Sexuality (and Romantic) Minorities, and it seemed like a great fit! Until people learned that it was coined by a pedophile, who also wanted to include cishet kinksters, pedophiles, and even rapists in the acronym, as well as other criticisms of the acronym itself. So that was obviously out of the question.
Then MOGII came along, but that one had some evolution. The original term was MOGA, for “Marginalized Orientation and Gender Alignments”. That was cool, but then people began to use MOGAI to include intersex folks who are often left out of important discussions (MOGA… and Intersex). Then it was pointed out that the “A” was somewhat unnecessary and allowed shitty allies a way to weasel themselves in. So, MOGII was born. MOGII stands for Marginalized Orientations, Gender Identity, and Intersex. It’s an excellent catch-all, uses no reclaimed slurs, and makes it entirely about the minorities.