Toads are robots
The mushroom head is actually a casket containing large, complex computers that simulate a sentient creature's decision-making and thought processes very, very convincingly. They are also equipped with teleporters that enable them to reach worlds and galaxies before Mario does. Because Toad is a robot, in SMB2, he can out-power even the Mario Bros. and lift heavy vegetables very quickly, but his heavy metallic body doesn't let him jump as high. In NSMBW Blue and Yellow Toadbots' jumps are augmented by tiny rocket packs. They have retractable parts to simulate the way Mario shrinks when he gets hurt.