The federal government will reimburse you for an enormous range of costs you incur to administer the programs it funds. Executive time, accounting infrastructure, compliance functions, technology, facilities, audit costs, board governance. The framework for what's allowable is broad, well-documented in 2 CFR 200, and considerably more generous than most organizations realize. The catch is that allowability is necessary but not sufficient. To recover a cost, you have to be able to defend it. And most organizations cannot.