Respect for Grieving Military Families Act This bill addresses the overpayment of retired or retainer pay to a joint account (bearing the name of the decedent and the decedent's designated beneficiary) during the month of the death of a retired member of the armed forces. Specifically, the bill authorizes the Department of Defense (DOD) to forgive or offset the overpayment if the decedent was enrolled in the Survivor Benefit Plan (SBP). In the case of an offset, each of the first 12 SBP annuity payments after the death of the retired service member must be reduced by one-twelfth of the overpayment. If the decedent was not enrolled in the SBP, DOD is authorized to forgive the overpayment.