The earth doesnt produce carbon at all, so why do you think things have getting warmer? It matters what form that carbon takes. Carbon in the form of a plant is a solid, and even works to pull carbon dioxide from the atmosphere. Carbon in the form of methane has

Jesus Christ you're ignorant.

The carbon in plants comes out of the atmosphere.

Cows eat those plants and processes in their stomach turn it into methane.

Methane in the atmosphere turns back to carbon within 20 years.

Plants then reabsorb that carbon when they grow to feed the cows.

It's literally a constrained cycle. You can't increase the amount of carbon in the atmosphere through cows and plants. You have to actually find carbon that is in a stable solid form and then put it into the atmosphere when it otherwise wouldn't be.

In other words, you have to mine coal or pump oil.

Plants and cows have absolutely nothing to do with it.