How do you remove Laticrete grout from tiles, followed the instructions and it did not work, it is in all the littlegrooves of the tile, the tile is a course tile, so how do I get it out without damaging the tile? Please help. Thank you Jennifer

Aside from using a dremel tool to route it out , I really don't know what you can do.
They make grout removers like the dremel with a bit designed to do what you want, it would be the fastest way, as for a liquid to do this, its not out there, and if it is I couldn't believe it could possibly work, grout is more of a concrete not a caulk,

Now if I have misunderstood what you have and the grout you used is more of a non sanded grout or like a caulk they do make some stuff for that, it goes on green and they sale it in the paint isle at Lowe's or homedepot, but it takes many coats to loosen it up.

Good luck