There is no requirement for an F/O to have a type rating under FAA regs. There is a requirement that they have training. In the airline world they have the same class room training as the PIC and only a couple less items in the sim. However the airline has the training records, there would be nothing on the certificate. The FAA created the SIC type just to keep foreign CAAs happy. A pilot can take their airline training records to the FAA and they'll issue a cert with the SIC type without any further training.