This brings up memories of high school... Anyway, here is what I remember of how I did Guile's bugged moves back in the day:
1) Freeze - Do a sonic in the middle of the upside-down kick (opponent has to be close enough, then standing roundhouse). A flash kick gets you out of it.
2) Handcuffs - Crouch and charge like you're going to do a flash kick, and if the opponent is close enough to throw, hit strong then forward while executing the flash kick. You just kind of run your finger straight down the strong/forward buttons (if using the arcade layout) while moving the joystick from crouch to jump. It's like your hands move in opposite directions, joystick going up, and single finger going straight down on the middle buttons (which hits one right after the other). You probably don't need to do a forward flash kick (short or roundhouse may work), but this made it the easiest for me since it only required one finger in a straight motion this way. Air throw gets you out of it.
3) Reset/Reboot - Same as handcuff move, but run your finger down fierce/roundhouse instead of strong/forward. Some machines would have the screen go black and not come back without power cycle, and some would just reboot. I'd usually only do this if I was just about to beat the game, or if I was done for the day and was currently playing a REALLY obnoxious opponent.
4) Air throw (magic throw, touch of death, whatever you want to call it) - Charge for a sonic boom, and execute the sonic with strong, but hit roundhouse just before the strong. The timing is tricky here if I recall, but once you get it down it's pretty repeatable. I remember it being kind of like a delayed sonic, so you hit roundhouse-then-forward slightly slower than you'd time your usual sonic boom (simultaneously hitting a punch as the joystick reaches the forward position). Or maybe you hit the roundhouse when you'd normally hit the punch button, and the strong follows just a short delay after that (but still in time to register as a sonic).
I don't know exactly how this works, but I'm guessing the roundhouse just before the sonic is the upside-down kick that you don't see, which requires your opponent to be close but still outside of Guile's normal throw range (I think, it's been a long time). This gives this move an extended range over a normal throw, besides the fact that you can pull people out of the air with it. They just have to be close enough to get the upside-down kick to register. On bonus rounds, you can throw your opponent from the other side of the screen, since the objects you are hitting are close enough to trigger the kick.
I think the best way to practice this move is after handcuffing your opponent. You have the whole remainder of the round with your opponent in range to try to get this to work. This way, you don't have to do a crouch-sonic charge like you would do in normal play, so you can just keep walking backwards and do the straight across joystick motion until you get the button timing down.