Protecting Moms Who Served Act This bill authorizes an appropriation to the Department of Veterans Affairs (VA) for FY2022 to improve maternity care coordination for women veterans throughout pregnancy and the one-year postpartum period. The VA must submit a plan to improve maternity care coordination to fulfill the responsibilities and requirements in the Veterans Health Administration Handbook 1330.03 (or successor handbook). The bill requires the Government Accountability Office to report on maternal mortality and severe maternal morbidity among women veterans, with a focus on racial and ethnic disparities in maternal health outcomes.