In "my" two-man games, I pre-game that if both officials are in the same 1/2 court as the ball, the T has the last shot.
If the officials are in different 1/2 courts, then the official in the 1/2 court from which the ball was shot has the responsibility. This covers the quick turnover (as in the OP) and the long "hail mary" pass.
In any event, if there's any doubt, then make eye contact (or meet) before making a signal.
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