Definition: The ability to teleport an object unconnected to the teleporter to a remote location without transporting themselves. (Example: The Crystal Gems can Exoport bubbled Gems or other bubbled objects to what they consider to be their home base. I.e. Garnet, Pearl, Amethyst, and Steven send their bubbles to the Burning Room of the Temple, but when Peridot sent off a Gem she bubbled, it appeared in the Barn.) Exo means 'outside', thus the transportation of things outside or other than the porter or their accoutrements.
Requires A: The ability to teleport in some fashion. B: if the object destination is out of visual range, the porter will also need a connection to the location or some way to sense or perceive distant locations. With Superpowers/Psionics, such means are Cosmic Awareness or a Sense of Perception (ESP), and the like. For magic some kind of scrying would work. Technology could use drones or fixed cameras to image the destination that the user could view with a monitor.