to over- in the context of over-nighting, or pulling off an overnighter - to stay up all night working
awver is a mix of the word over and the arabic form of a verb, for it to fit within an english or an arabic sentence (view examples below)
(arabic): beddak t'awver?? meaning, you want to overnight?
(english): no awver-ation happening tonight missy!! i haven't slept since crucifixion...