I think that some breeds of cow, at least, would be able to survive a human extinction event. You would see rapid adaptation in the population, though, so mayb

I think that some breeds of cow, at least, would be able to survive a human extinction event. You would see rapid adaptation in the population, though, so maybe we could rephrase your observation to: "If we become extinct for whatever reason, you will not find recognizable chickens and cows roaming about."