Techical Foul @ end of quarter, half

[Nevadaref]

In your situation, the technical foul FTs are part of THAT quarter NOT the next one because the quarter doesn't end until all related activity is over. That activity in your scenario is the administration of the 2FTs for the personal foul.

Here's the rule citation:

Rule 5, Section 6, ART. 3 . . .

If a foul occurs:

a. So near the expiration of time that the timer cannot get the clock stopped before time expires.
b. 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.