Weed and feed is a two-in-one product: it kills weeds and feeds your grass at the same time. But here’s the twist—the “feed” part (the fertilizer) needs to stick around on the grass blades to do its job, while the “weed” part usually needs to hit the leaves of those dandelions and clovers. If you mow after applying, you’re basically giving those weed killers a haircut before they can work their magic.
Think of it like putting sunscreen on a bald guy’s head—you want it to stay on, not get wiped off by a towel. Mowing right after application is that towel.