Going back to farming, the Federal government assumed near total control over a great of it in the New Deal, down to how much you could charge for selling a kosher chicken (A.L.A. Schechter Poultry Corp. v. United States "the surname Schechter means "slaughter" in Yiddish, and specifically refers to a ritual slaughterer") and the two have been inextricably linked since then.
And until about now things have been a lot better, for before WWII at the same time food production was limited by diktat and there were newsreels of it being destroyed, the USDA also believed about a quarter of the nation was malnourished which was confirmed in the WWII draft. Which I've read was major factor in establishing the school lunch program.
They could solve the baby formula immediately by just allowing import of European baby formula. Sure, it’s not been vetted by FDA, but unless you believe French or German babies are malnourished en masse, this is scarcely a good reason to prevent import in time of shortage.
And if babies die of malnutrition that’s not their fault and won’t affect their performance review.