Time off the clock is irrelevant. Assuming the lead announced two shots and the trail didn't chop time in, the clock running is a timer's error. Put the time back on and line 'em up to shoot the 2nd shot.

Had a sitch once where the table said 1+1. As the shooter begins the motion the buzzer buzzes - we let the play continue: offensive reb, good basket, foul. Table still buzzing - says should have been 2! CRAP! Amazingly we got it right.

Count the bucket - shoot the and 1 then go to POI and shoot the second shot.

Tough to explain to stupid coaches but we made it though it . . .

You made that post before and it was deleted. You've made simialr posts in other threads and they too have been deleted. Don't make them again, please.

It is too relavent. If the officials let the play continue without killing it immediately upon the rebound you have then created a correctable error situation by letting the play continue down the court with the clock running.

Allowing the rebound and eventual trip up the court means the free throw has ended. It is now too late to cancel any subsequent action.

I disagree, but it might be based on how I am seeing the OP.
Foul called, and scorer tells the reporting official that it's a double-bonus shot. Clock keeper misses this and is still thinking one-and-one. Administering official tells the kids "two shots."
First shot goes up and misses, B1 gets the rebound in spite of ref's words and sprints the other way. Clock keeper meanwhile, already started the clock on the rebound because he thought it was live on a miss. Both refs take about two seconds to get their whistles in their mouths (it's the first of two, remember) and kill the play.
The refs didn't fail to award anything, the kids just didn't listen and the clock keeper was sleeping. Put the time back on and line 'm up.
What matters is what the administering official said; not whether or not time came off the clock. Now, if the refs ran down and set up with the new offense before realizing it, you're right. But it's not because time came off the clock.

That's what I envisioned. I also would say it's the officials who were sleeping and whistles should still be in our mouths for all free throws.

It's funny we're talking about this. Had my first C.E. today in a GV game. We have a foul on a made basket; one free throw. I'm T, the C signals one shot. The lead, however, says "two" as he administers it. B3 and B4 casually walk into the lane and B3 grabs the ball and tosses it to my partner, who suddenly realizes what happened.
He got it right and immediately called for the arrow.