Hang on, if the difference is coming from cow farts, that CO₂ would have been released back to the atmosphere eventually anyways when whatever the cow would have eaten decayed.
As I understand it, the main process that reduces atmospheric CO₂ (other than the ocean, which is more of a reserve than a sink) is when it reacts with silicon/silica in the rocks, which is more or less a constant process, though increased frequency of things like landslides can increase it. Most of the CO₂ that gets used by plant life is just temporary until animal or microbial life converts it back to CO₂ for energy.
At least that's how I understand it. Though if you mean greenhouse gases in general, maybe it's extra methane being produced by the cow's digestive process rather than going straight to CO₂?