  The first direct observation of time-reversal (T) violation in the $B\bar{B}$
system has been reported by the BaBar collaboration, employing the method of
Ba$\tilde {\rm n}\!$uls and Bernab\'eu. Given this, we generalize their
analysis of the time-dependent T-violating asymmetry ($A_{T}$) to consider
different choices of CP tags for which the dominant amplitudes have the same
weak phase. As one application, we find that it is possible to measure
departures from the universality of $\sin(2\beta)$ directly. If $\sin(2\beta)$
is universal, as in the Standard Model, the method permits the direct
determination of penguin effects in these channels. Our method, although no
longer a strict test of T, can yield tests of the $\sin(2\beta)$ universality,
or, alternatively, of penguin effects, of much improved precision even with
existing data sets.
