My trainer does not always go "by the book", but she does get good results, and I trust her. When she demonstrated to me how to lunge my horse when he was fresh, she had me loop stirrup leathers through stirrup and then extra leather goes through the loop, if that makes sense. Kinda ties the stirrup in.
Twist the reins once, and put them over his head. Undo throat latch and pass it through the reins near the twist. This holds them fairly steady. With a long enough lunge line, thread through near side bit ring, go over poll, and clip to off side bit ring. Or if lunge line is too short, she said you could just clip it to bit. I know that is not "correct" but it did do what I needed to go, and gave me more control. At first I put a halter over the bridle and clipped the line to the halter, and he pretty much did what he wanted when I did that.
I don't know about you, but my barn time is precious and limited. And I don't have side reins or money to buy them. So this is a quick way to do what I needed.