What should I do if I got a ticket in my name and I was not the driver?

Get a lawyer and fight the matter. If you were the passenger then bring the driver to court with you. If you were not in the car then bring people in that can testify to that if there are any such people.

Contact the court immediately to contest the ticket with a formal hearing. Next, try to prepare your defense by remembering where you were at that day in time, if any witnesses can verify your alibi, etc. Finally, retain an experienced attorney in your area that handles traffic citations and tickets.