I'm confused.

AJ/FormS said
Among the Second gens, the 69 is a special year; you could buy all three variants; Barracuda, Formula S,and 'Cuda. A Cuda was basically scooped S with a 4-speed, and a twist. Some parts of the A53/A56/A57 packages could be had on a standard Barracuda.

‘69 ‘cudas could be had with either automatics or 4-speeds just like any other vehicle in the Barracuda lineup. The only exception to this was the 440 ‘cuda which could only be had with an automatic.