I am aware CO2 does it perfectly, but you can try blood. A lot has been done on attractants, some people are now using photocatalyst attractants, TiO2-Activated Carbon, NO2, NO2+CO2 etc, it works well too, maybe.
I believe there are many other insects that would be attracted to blood bait. You would have to deal with enormous amounts of blowflies, flesh flies and muscids and probably some of the carcass feeding beetles as well. For mosquitoes I think the tried and proven baits are your best shot.
The most useful studies for you to look at are those that concentrate on specific vector species of mosquitoes, such as malaria vectors, or dengue (virus) vectors. Use of blood will probably get so much trash that sorting mosquitoes out will be messy. Nuisance mosquitoes that do not transmit disease are not often studied in this way, which is why many people put permanent mosquito screens on their house windows and doors.
If you have smelled your own blood, or that of another being, you will instantly recognize the "odor of fresh blood". There are organic volatiles produced when red blood cells break up in air and try to coagulate to stanch a cut: there are some compounds discovered in this process. That said, mosquitoes do NOT detect fresh blood exposed to air, but they bite to find blood vessels beneath intact skin!
CO2, lactic acid and water (moisture) that exudes from the membrane, primarily. You have not described your membrane- rubber, wax paper, saran plastic, polyethylene (not likely) , chick skin was a favorite in the 1940s. There are many studies like this in the literature.
Chicken skin from baby chicks was pretty good many years ago, because it was a natural membrane and mosquitoes could feed well through it. I don't now how much blood odor came through this delicate membrane, Try it and see.
Plastics would be pretty impermiable. In USDA and IAEA labs, biting flies like tsetse are mass fed on warm liquid blood film under a cast silicone rubber membrane.
My favorite turn on paper which has helped me with a lot of different insects too is:
Wood CS. Preferential feeding of Anopheles gambiae mosquitoes on human subjects of blood group O: a relationship between the ABO polymorphism and malaria vectors. Hum Biol 1974;46:385. Basically the study was done at London School of Trop.Med. & Hyg., They looked at 15 different parameters i.e skin pigmentation, skin fold thickness, blood type (But not Rh factor!!!!) Out of the 15 different things, the only one to everyone's surprise that was statistically significant was blood type. Volunteers had there arms in the cage at the same time and they would land on a volunteer check em out then go to another and then bite and feed.
I have O- blood and have been working for over 30 years in various tribes in Central &S.America, Africa, Australia, and they have the same blood type for that group and all RH+. The Kuna Indians of Panama are all O+ and scabies and head lice are
a way of life. We used to take teams of Med. students, International Public Health,
Entomologists, depending of the studies. Living in thatched huts, sleeping in hammocks, microscopes/dissecting, H2O filtration, lighting,all run by solar. As usual everyone got lice, but me. This one med. student interviewed well, great on paper, nice guy until he couldn't handle the bugs, 120 temp., lice,rats, scorpions..
I was going to put him on the next Cessna that came, but I knew that would be a week. Then he said "your so gross that even lice don't like you"! Wow, that is true,
and flashed immediately back to Woods article from 1974. I had a Ph.D. Entomolgist from UC Davis along working on lice symbiotes. I got some lice off of one of my Kuna friends and starved them for about 15 hours then let one feed for a few seconds on her then put it on me and it was feeding on me fine, then I put the full louse under the dissecting scope and watched as the gut ruptured with the blood type incompatibilities. We kept repeating it so everyone could be entertained.
From then on we had a 3 day long weekend course in the everglades!
Don't know if this was of any help, but obviously mosquitoes know your blood type
and probably RH factor before they choose their victims!
A great deal of observational effort was made during World War II at the USDA lab in Orlando Florida. Entomologists were trying everything they could think of. The only useful repellent was citronella, then 6-12 was synthesized and found to be pretty good. Male, female, all skin colors, blood types, young, old and all combinations of human "army volunteers" were tested lab and field against many disease-carryng mosquito species. Fred Acree of USDA published the Science paper in 1968 about L+lactic acid in emanations from skin together with moisture and CO2 which has held up as the basis of attraction. I personally measured CO2 emanations from human hands at USDA. Much later Uli Bernier of USDA, ARS published studies of skin odors collected repeatedly for GC-MS from volunteers. The components found repeatedly in skin emanations suggested that some human-skin products were repellent from some volunteers. Other people, particularly women , did not produce as much of these components and were thus "more attractive". I suggest that these results put a different light onto the problem. These papers were all published.
OK- that has been done since 1945. If it is only temperature, they would feed on sugar water through parafilm, right? Do they? Can they feed on blood through saran plastic? I have fed tsetse flies on blood through thin silicone membrane. This story does not concern the odor of blood being broken down in air.
I'm telling you what I have done myself on many occasions. We would collect females by putting a jug of warm water next to the cage and the mosquitoes wd be probing like crazy. This is my experience and I am just trying to be helpful.