It can account for moral responsibility, but there are no universal moral absolutes.
For instance, if wolves and sheep both developed intelligence, they would have very different ideas about the eating of sheep. Maybe the wolves would eventually change their diet and make peace. However, they might still value books written in earlier times describing great feasts. That might upset the sheep, but if they wanted peace, they would have to put up with it.
We have a similar situation. There are many books written back when going to war and enslaving weaker nations was regarded as noble, parts of the Old Testament, for instance. Christians have a hard time dealing with that; If there are universal moral absolutes, why are they defending actions which, if carried out today, would be called war crimes?
There are moral absolutes, though. They may change in future centuries - there is not much we can do about that. And they might well have disgusted our ancestors, but that does not matter.
The absolute sense you mention does not exist. Responsibility means the ability to respond to events which are happening now. We should rejoice that we are more civilised than our ancestors were.