Correct order to shoot FT

[radiomouth]

I was asked to explain the procedure we saw Saturday night.
Division 2 Mens Game
A1 fouls B1 while slapping ball loose in front court. A2 picks up loose ball. After hearing whistle, A2 throws ball to end of court in frustration. Official whistles A2 for T.
Team A has 8 team fouls.
Officials administer the two technical shots first, then the 1+1 which Team B makes both shots, then Team A inbounds after made FT at end line.
Several question were posed to me.
Should the FT be shot in the order that the infractions occurred?
Do they shoot the T FT first, then shoot the 1+1 and begin play if the first shot misses?
Why didn't Team B receive the ball to inbound at the division line after the T shots?