The Military Service Academy Foundation Act of 2019 This bill describes how the Department of Defense may support military service academy supporting foundations. It authorizes the Secretary of the military department concerned to provide the following types of support to service academy supporting foundations: (1) official participation of officers or Senior Executive Service employees, (2) endorsement of foundations and their activities, (3) logistical support, and (4) authorized use of trademarks and service marks. A "supporting foundation" is a tax-exempt charitable organization that operates exclusively to support recruiting; parent, alumni, academic, leadership, and character development; athletic programs; and institutional development of a service academy.