so the rinnegan and rinnesharingan are often treated as twp separate things and one only existing in a single person. the differences between the two are actually not much.
rinne-sharingan as shown by kaguya: was the color red, had full tomoe, was on her forehead, could use yomotsu hirasaka, has various abilities possibly unique to kaguya, is the predecessor to sharingan and rinnegan
regular rinnegan: can be the color red, can have some tomoe, can appear on the forehead, can use yomotsu hirasaka, has various abilities unique to a user, can use sharingan AND rinnegan abilities
so honestly outside of name there isnt really a difference.any rinnegan with tomoe could be considered a rinne-sharingan and it probably wouldnt be wrong. a tomoe rinnegan seems to just be a somewhat more advanced rinnegan with little differences