Theodicy is an attempt by theologians and philosophers to show God as being good and providential despite the evil and attending suffering that pervades human existence. The bible calls Christians to be ready to “give answer” why they are buoyant with hope to enquirers who ask, but never teaches to try to prove God’s existence. A well known proof text is Rom. 1.19: because what can be known about God is plain to them, because God has made it plain to them (NET). Therefore, despite protestations from skeptics, they really know enough about Him already.
It is instructive to note the practice of the Apostolic witnesses since they were foundational (Eph. 2.20). The late Martin Hengel, writing about the prologue in John’s Gospel and the incarnation, notes:
Like the whole apostolic testimony, John knows no theodicy – the incarnation replaces it. God does not need justification; his only justification is that of the sinner because of the vicarious sacrifice of Christ: therefore the Word of God must become man.