Start from doing forward ocho with Lady's RF fwd. (Sometimes from rock step. Lady's RF rock back, LF replace, then RF fwd)
Man does not lead the swivel when Lady is on her RF, instead he leads Lady to keep moving fwd with her LF and then turn her to her R.
After Lady steps her LF (smaller step, don't pull Man), Lady swivels on balls of the feet, Man lowers Lady into her L knee to sit into her hips, her R toe can come up. Lady overturns her hip/body/shoulder to R a bit (to wind up). Do not lean back and take arm with body. Instead, sit, hip overturn to R a bit, pitch fwd and leave arms with Man. Head looking forward (not away to R, not keep all the way to Man either, which will be too twisted.)
Then Lady step onto her RF (let body start rotating sooner to left, don't do Latin style on RF and then sharp turn. make movement smooth, wind up, recoil, untwist) Swivel into a cross (LF cross in front of RF)