God did not create evil, rather, good beings (angels and men) chose to become evil, and their evil deeds (sins) caused a rupture in the peace and harmony of the universe.
The first book of the Bible tells us that God created the world in six days and saw that it was good. Lucifer and the other bad angels were originally created good, but they made a freewill decision to rebel against God. Their sin resulted in the creation of hell. Once there, the fallen angels became known as devils and demons. Lucifer then became Satan.
Adam and Eve, the first humans and the parents of the human race, were also created good. Creation existed in peace (tranquility of order) until the sin of Adam and Eve came along. Their sin was not just disobedience to the divine law of God, but was also an act of rebellion and an infection to their souls.
The entire created universe was tainted by original sin. Human nature was wounded, and the cosmos was shaken up and disturbed. No more perfect harmony, and hence there exist some occasional catastrophes like floods, earthquakes, fires, drought, blizzards, avalanches, tornadoes, hurricanes, tsunamis, and meteor collisions. These are sometimes known as physical or earthly evils. War, crime, violence, terrorism, hatred, bigotry, racism, and abuse are moral evils caused by man.
Had there been no sin, Adam and Eve would have never been expelled from the Garden of Paradise. There would have been no pain, no suffering, and no physical evils whatsoever. The blame for their existence is not on the Creator who made the world good, but on the creatures that freely chose to do and to become evil.