According to Mesa Grande dictionary, aayiw is specifically for bringing people or "large, long object(s)", while other verbs are used for bringing other things. Per the Barona dictionary, aayiw can be the general term for bringing any given object.
Can be read as, "makes it come", from verb weyiw (neyiw), "comes"
Alternate plural form is aateyiw "they bring them"
Compare to tuuyiw (teteyiw) "brings a solid, chunky object" and cheyiw (checheyiw) "brings a soft object, a bunch of small objects".