Yes there are moves to combo into grabs, like Radec's scissor kick, Drake's uzi, any guard break/butt drop/ moves that make you kneel, etc.
Speaking of, TC you main Nariko right? Can't she combo into grab with ground down triangle?
I wouldn't rely on Ground Down / \. I find that anything after it hardly connects.
Instead, I use one attack of her Forward [ ] or Up [ ] strings to combo into a throw. Forward [ ] is the most reliable because it actually buttdrops the opponent. Up [ ] can combo into a throw because it has a pretty fast recovery time.