I've read the ingredients for the Givechy Man "Intensive Anti-Fatigue Eye Lift," but there's no list of ingredients for the Givenchy "No Surgeries Plasti Sculpt Eye LiftingGel". They are about the same size (.3 and .33 oz) but the Men's price is $41, the other is $80. I want to know if they are the same thing, and if either can possily help with puffy/dark circles. I do see that they both have caffeine - for the men's it's about the middle of the ingredient list. (Oh, and other, cheaper stuff that might work? I picked Givechy only because it came up on the "caffene+eye" Sephora search)
Garnier makes a caffeine roll-on treatment. I bought it although I don't remember why. I think it was as part of a BOGO promotion or something. I haven't noticed any significant long-term difference but I'm not using it regularly. It does feel nice and has a tightening effect but it's temporary. I use it at the end of the day when I'm tired and looking a little haggard. The reviews on MUA are mixed. I think it's about $13 regularly but you can probably find it cheaper if you keep an eye out for promotions and sales.
We can't find the ingredient lists either.
But it's doubtful that there would be any significant differences. It's not like there is significantly different technologies that would work on women better than men (or vise versa)
More likely is that it's like clothes. Men's just cost less.