Trusting God means putting our complete faith in Him. Being confident He will forgive our past, make our life right with Him and empower us for what is to come. His solution for complete recovery (Jesus Christ) is available to everyone, regardless of who we are, where we come from or what we have done.
When we are travelling well in recovery it is easy to trust Him. the test of our faith in Him is how much we trust Him when problems and difficulties come. God is sufficient for whatever happens in our lives. He can help us deal with everything if we ask Him to.