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 women 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 female lesbian may not feel fully connected to womanhood because womanhood is often heavily tied with attraction to men (in society's eyes.) For example, a female lesbian may feel that, even though they are a woman, they do feel fully connected to that gender, or feel as though their experience as a woman has been heavily influenced by being lesbian to the point that one's identity as a woman, 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, WLW solidarity, and a disconnection from being female.
Sources
https://illiterate-kitkat.tumblr.com/post/642629419787321345/new-lesbiangender-flag