Unsporting T at end of 1st half.

[APG]

Rule 5, Section 6, Article 2
Exception:

3. If a foul occurs so near the expiration of time that the timer cannot get the clock stopped before time expires or after time expires, but while the ball is in flight during a try or tap for field goal. The quarter or extra period ends when the free throw(s) and all related activity have been completed. No penalty or part of a penalty carries over from one quarter or extra period to the next, except when a correctable error, as in 2-10, is rectified. No free throw(s) shall be attempted after time has expired for the fourth quarter or any extra period, unless the point(s) would affect the outcome of the game.

The bold was my emphasis. The technical foul was part of the related activity. You handled the play correctly.