Probably nothing is truly objective anyway. Take science, we accept something as "objectively true" after a large number of people are persuaded through their individual subjective experiments.
There is usually no objective way to know that one government policy is better than another, but we have votes and everybody agrees to abide by the majority. The same applies to morality - no big problem.
There is usually no objective way to know that one government policy is better than another, but we have votes and everybody agrees to abide by the majority. The same applies to morality - no big problem.