With your diode rotated so that the slow axis is horizontal..............NOTE : The slow axis is the more rapidly diverging as slow refers to the internal geometry IINM and not the rate of divergence.
With the slow axis placed horizontal he beam out of the diode naturally comes out in the shape of a tall thin rectangle as that's the shape of the emitter and it's diverging rapidly, however one axis is diverging much faster than the other, it looks like the letter " l " and the narrow part from left to right ( horizontal ) diverges ( grows ) much faster than the vertical/up/down axis, so in short order the output turns into a wide rectangle that continues to grow in width in relation to it's growing height. That is your spot is an ever lengthening line seen far field.
So you 1st use a G2 lens so you grab the beam as close to the emitter where it's as small as possible and you use the concave cyl lens to expand that horizontal axis while it's narrow but about to grow fast and expand it, then use the convex cyl to reduce the divergence of that axis, it's like optical leverage, so your beam will still look like a ribbon only it won't diverge nearly as fast giving you a more consistent size beam and a smaller spot size.
For instance the nubm44 with a G2 lens focused to infinity makes a long thin bar about 1.75 inches long at 15 feet, but after using a 6X c-lens pair ( following the G2 ) the long thin bar at 15 feet is now only 5/16 of an inch long. Basically 1/6 of what it was and the beam looks like a long ribbon rather than a pizza slice.
The NDG7475 diverges slower than the 44 and would probably use a 2X c-lens pair, I have not corrected it yet but plan to, it's the exact same principal.
So in short your G2 ( round single lens aspheric ) collimates your diodes output reducing the divergence of both axis, however one axis is still diverging faster, then your c-lens pair is used to leverage that more rapidly diverging axis, there by reducing it's divergence to better match the less diverging axis giving you a better beam with a tighter spot, looks like a pasta ribbon instead of a pizza slice.
My concern is how wide the output of the beam is from an Optlasers 6X cylinder pair, if a 10X beam expander is used. They are difficult to find with a wide enough input aperture for that much expansion. For low divergence, I think it would be better to forget about the 6X cylinder pair to correct the beam symmetry and just use a large diameter PCX lens to collimate the output of a laser diode and live with the rectangle shaped output.
You could go the long route of using a cylinder pair to correct the output, then using a beam expander in front for a very nice laser pointer having that corrected beam shape, but the cost goes way up, unless you are fortunate to find something which will work cheap enough on ebay.
Try both and you will see, I have gone both routes with the 7A75 and 44 and c-lens correction followed by a beam expander is by far the best result for both appearance and far field spot size, otherwise your output lens diameter becomes unmanageable, seriously try both and compare results then decide.
For the most conpact device size and best bean/divergence correcting the aggressive axis 1st is the way to go, nothing good is easy....usually.