restore someone's trust in something
and restore someone's belief in something; restore someone's faith in somethingto reinstate someone's belief, faith, trust, etc., in something. I knew that a good performance on the test would restore my parents' belief in me. Her faith was restored in the government.
restore something to someone
to give something back to someone; to cause something to be returned to someone. I will restore the man's wallet to him after we lock the thief up. His wallet was restored to him by a police officer.
restore something to something
to bring something to its original state. The state restored the park to its original condition. The government forced the mining company to restore the area to its original state.