Lesbiangender is an orientationgender in which one's lesbian identity heavily affects, correlates with, or influences their gender. One may feel that their attraction to female-aligned people has an impact on their gender that can only be explained by it. Lesbiangender individuals may identify as other genders along with lesbiangender.
One's gender can be influenced by one's lesbian identity in many ways. For example, a cis female lesbian may not feel fully connected to womanhood because womanhood is often heavily tied with attraction to masculine people (in society's eyes.) For example, a non binary lesbian may feel that, even though they are non binary, they do feel fully connected to that gender, or feel as though their experience as a non binary person has been heavily influenced by being lesbian to the point that one's identity as a non binary person, and one's identity as lesbian become blurred.
Flag
The first three flags were created without meaning, but the fourth one was created by Tumblr user illiterate-kitkat.
The meaning for their flag from top to bottom is as follows: Gender confusion (yet knowing it is a feminine gender), Gender Non-Conformance, feminine-aligned genders, Non-Binary lesbians who feel their gender is attached to the lesbian identity, serenity, lesbian solidarity, and a disconnection from being female.
Sources
https://illiterate-kitkat.tumblr.com/post/642629419787321345/new-lesbiangender-flag