Federal Grant Accountability Act This bill limits the indirect costs that are allowable under federal research awards to institutions of higher education (IHEs). Specifically, the total amount of indirect costs allowable under a federal research award may not exceed the total amount of indirect costs allowable under private research awards. The Office of Management and Budget must determine the average indirect cost rate applicable to private research awards. Additionally, the Government Accountability Office must study and report on (1) the indirect cost rates allowable under federal research awards to IHEs, including awards made by the National Institutes of Health, the National Science Foundation, and other such organizations; and (2) the indirect cost rates allowable under private research awards to IHEs.