OK,
In a perfect world you would have a fixed amount of air produced for combustion by the compressor being heated by the appropriate amount of fuel gas that was all CH4 and you would end up with an exhaust of nothing more than N2 and C02 ignoring excess O2, and other small amounts of impurities in the gas, etc.
In your case, because a high percentage of your fuel gas is CO2 and is inert, the fuel control has to feed even more fuel volume into the combustors than if it were pure methane gas. The inert CO2 in the fuel also has to be heated by fuel to the turbine inlet temperature in order to pass through the hot gas path with the other products of combustion, necessitating the need for even more fuel.
All that fuel in a combustion can that was designed for and would otherwise love to be operating on pure methane (or distillate) displaces some of the air that would have been beneficial to the combustion process, thereby displacing the O2 necessary for complete combustion and upping your levels of CO which is an indicator of incomplete combustion as I stated before.
Your turbine runs on hot gas products of the combustion system. It doesn't care if it is hot N2/CO2 at stoichiometric ratios or other hot gasses (with proper considerations for volume ratio differences between the constituents) so it is not surprising that you get the HR and the efficiency numbers that you do. You could get those numbers if you were burning turpentine if you could get it in in a fashion it could be burnt completely.
You might ask your turbine mfg'r about it as they might have a different combustion liner or can (whatever your airplane engine has in it-whatever those guys call it) for a more "difficult" fuel that would get more air into the combustion area or with better mixing to burn your junk fuel.
That is my theory anyway, and I am sticking to it.
rmw