Usually action in turn is binding. The gray area would be whether he actually pushed the chips out as if to signify a bet. Players generally have a right to use the space in front of them to manipulate and count out chips, but once there is a forward motion with those chips, that signifies a bet. Some poker rooms have a line on the table which signifies action when your chips cross that line. In general, though, there's no requirement to verbally declare your action, though it is usually helpful to do so.
So, if your dad pushed chips forward in a betting motion, then that in itself should have been sufficient to indicate a bet.
W.r.t. your updated edit, you say your dad acted out of turn and then tried to use that as a way to get out of his bet. First, this sounds like a home game, and it sounds like shenanigans like this are pretty common, so you might have to defer to the convention that's been established for this kind of thing, which might mean just doing nothing.
But, the TDA rules do indicate what should happen in that kind of situation:
38: Action Out of Turn (OOT)
A: Action out of turn is subject to penalty and is binding if the action to the OOT player has not changed. A check, call or fold does not change action. If action changes, the OOT bet is not binding and is returned to the OOT player who has all options including: calling, raising, or folding. An OOT fold is binding.
In this case, it sounds like his all-in action should be binding.