to see if any of what you posted makes sense, or if it is just an entirely meaningless circular nonsense, here are some actual definitions I can understand:
sex = either of the two main categories (male and female) into which humans and most other living things are divided on the basis of their reproductive functions.
male = of or denoting the sex that produces gametes, especially spermatozoa, with which a female may be fertilized or inseminated to produce offspring.
female = of or denoting the sex that can bear offspring or produce eggs, distinguished biologically by the production of gametes (ova) which can be fertilized by male gametes.
Man = an adult human male
Woman = an adult human female
I'm going to replace the word 'gender' with 'X' for now as a placeholder to see if there's anything remotely resembling a definition in the words you posted.
The human experience of X is vast and expansive subject and you want me to put some neat little definition of it into some neat little sentence (so you can pick it apart) and tell me I'm wrong and you're right. Whatever.
"The X spectrum is a linear model, ranging from 100% to 100% , with various states of androgyny in between. The X continuum or matrix is an multidimensional extension of the spectrum that includes additional X identities outside of the spectrum."
"X identity is a person's private sense, and subjective experience, of their own X . This is generally described as one's private sense of being a or a , consisting primarily of the acceptance of membership into a category of people: male or female."
"The X binary, also referred to as X binarism (sometimes shortened to just binarism), is the classification of sex and X into two distinct, opposite and disconnected forms of masculine and feminine. It is one general type of a X system."
Nothing of that makes any sense.