When "engender" was first used in the 14th century, it meant "propagate" or "procreate," but extended meanings soon developed. "Engender" comes from the Latin verb "generare," which means "to generate" or "to beget." "Generate," "regenerate," "degenerate," and "generation" are of course related to the Latin verb as well. As you might suspect, the list of "engender" relatives does not end there. "Generare" comes from the Latin noun "genus," meaning "birth," "race," or "kind." From this source we have our own word "genus," plus "gender," "general," and "generic," among other words.
It seems interesting that the word for create (propagate or procreate) is related to the word for gender. Natural procreation requires one man and one woman: one of each sex. We read in Genesis 1:27
God created man in His own image, in the image of God He created him; male and female He created them.
All the discussion about gender confusion and choosing a gender identity is a bunch of hooey. Male and female He created them. We don't get to choose. It is just the way we are made.