See this Newhaven display module for an example. You can see the exact same type of foil, with the LED diffuser on the right side. It is a sector to ensure even lighting from a single LED.
Hang on, that's a totally different thing, isn't it? That appears to send the light through the LCD glass itself. Of course if the back of the LCD glass is frosted, or touching the foil, light will be scattered, as we need.
But
@daisizhou seemed to be talking about putting
another layer of glass
in front of the display, and sending light into either side of it. That won't work well because the light will stay inside the glass unless the glass is etched (or even scratched or dirty).
So what is the proposed solution? Illuminating the LCD glass itself from the side? (That will work if the back of the glass is in contact with something like reflective foil.) Or an extra layer of glass in front of the display? (That won't work unless the glass is treated in some way so it leaks light out of the back face.)