[IREFU2]

SECTION 2 SUBSTITUTE TECHNICAL
A substitute shall not enter the court:
ART. 1 . . . Without reporting to the scorer.
ART. 2 . . . Without being beckoned by an official, except between quarters.
PENALTY: (Arts. 1, 2) Two free throws plus ball for division-line throw-in. One foul for either or both requirements. Penalized if discovered before the ball becomes live.
NOTE: A single flagrant technical foul or the second technical foul charged to a substitute results in disqualification of the offender to the team bench.

I guess you can justify your "T" by this rule, but I think that coach is responsible for all bench personal, so he would get the "T", which would add to the team totall fouls.