No penalty throws?

[JoeT]

At a grade school game I watched this weekend, the following occured:

Team A is over the foul limit. A1 tries for a field goal. A2 is called for pushing B1 on the rebound.

The official called the foul, but did not award the penalty free throws because the foul was "on the offense."

I'm gonna feel really dumb if I'm wrong about this, but shouldn't B get the one-and-one on this play?