Since no one else explicitly answered you I figure I would. Be careful what you ask for!
That is a patch from the reserve A-6 squadron VA-205, as the patch says they disestablished in 1994. At the time the debate about women in combat was pretty active after the Gulf War and the combat exclusion had just been lifted the year before for women in US military aviation units, they had previously been limited to non-combat units. Even though women had a nearly 20 year history in Naval Aviation by that point (except for a few female aerial navigators in WWII) they were usually limited to shore-based support squadrons like VAQ-33/34, VQ-1/2/3/4, VT, HT, VC and HC squadrons among a few others. They were also few in number, pretty rare birds so to speak.
The FAG part is 'Fighter Attack Guys', i.e. VFA guys, which flew the much disdained (by A-6 guys and a few F-14 types) F/A-18. There was a bit more rivalry back then between the Fighter and Attack guys in the Navy, most of it good natured but it did have a sharper edge to it occasionally. After all 'fighter pilots make movies, bomber (attack) pilots make history'. That edge got a little sharper post-Gulf War when the
A-12 'Flying Dorito' was abruptly cancelled and the decision was subsequently made to do away with the VA/A-6 community pretty rapidly (within 5 years) in early-to-mid 90's. Some A-6 squadrons transitioned to F/A-18's but many didn't, to include VA-205. Lots of A-6 guys, who had grown up in a community that had been a large and integral part of Naval Aviation for 30+ years very quickly found themselves quickly and uncermoniously 'replaced' by the F/A-18 and modified F-14's, which were drawn down by almost 50% themselves. All of this happened right after the post-Gulf War victory high which had been followed immediately by the Tailhook '91 'crash' topped off by the Cold War going 'poof', all in the same year.
In the middle of all that Don't Ask Don't Tell was also implemented in '94.
Post-Cold War, post-Gulf War, post-Tailhook '91 was a time of great change and upheaval in Naval Aviation with previously integral parts of Naval Aviation going away very rapidly coupled with societal change WRT to women and gays along a very big drawdown in the US military all happening at the same time.
So some folks had some strong opinions on the events happening and a few cranked out some patches to reflect the attitudes at the time. The funny/ironic part is what they said in the patch has since come true, and we've done pretty damn good going to war with both. Figure that.