If your Medicaid is with your LDSS, to order a new Medicaid Benefit Identification Card, please call or visit your local department of social services.. If your Medicaid is with the Marketplace (NY State of Health) and you need to order a new benefit card please call the call center at 1-855-355-5777.. Members residing in the five boroughs of NYC can call the HRA Infoline at 1 (718) 557-1399 ....