Apart for the fact that your question is deeply strange, I will try to reply to you.
Mosquitoes are attracted by several factors that make them able to recognize their prey; two of these are: Warm bodies and CO2.
CO2 is the product of your mitochondrial respiration, when you breath out from your lungs you expel liters of this gas. This is how mosquitoes understand that you are alive. You are warm and you breath !
One of the devices used to kill mosquitoes is in fact a giant vacum cleaner that warms up till 37°C and emits CO2, by burning gas.
Going forward with your question: Let's speak about farts.
Farts are not "a soup of proteins". Farts are gasses (mostly methane) and CO2 produced by bacterias during the decomposition of the food that you ingest. That is also why your excrements smells more when you don't poop for a long time. They fermented more :P.
So, since it is true that part of a fart is composed by CO2 and they produce a warm cloud around you, I would say YES, they do attract female mosquitoes. But so do you. So release your gasses, or stop to breath at all.
Hope I've replied to all your doubts.
I didn't know we were peer-reviewed.
Here my references.