This is a good question. The above answer which is from a Muslim point of view is an important perspective. However, there are many different points. In light of this, let me offer a few ideas that might help.
First, rather than saying that it is absurd to defend God, it is possible to have a conversation about moral evil within a theological framework. One point that we can make is that there are mysteries in our world and therefore, it is possible to say that God is not the author of evil, but still sovereign in some sense. Just because we cannot understand something does not make it false.
Second, it is also helpful to look at alternatives. Evil is a problem for all people, theists and atheists. So, if there is no viable alternative, then a theistic position might be the best.
Third, from a Christian perspective, the person, death and resurrection of Jesus offers another important perspective on the problem of evil. God in Christ knows this evil, experiences it, and overcomes it. A theology of hope emerges.