Item #5 (I think) is misworded. “Engender” means “to cause or give rise to (a feeling, situation, or condition)”. “Cause or give rise to the military stength to weaken it” doesn’t make sense.
Mis-engendering? Maybe they meant “endanger.”
Here we use engender to mean making sense of something with respect to gender issues, thus looking through a gender lens at ....
I suspect what he means is introducing all kinds of gender issues into the military.
I don't think he's working from actual documents. It's more that he's telling people what Facebook doesn't want people to hear.