Not the best quality of images. I assume you are referring to the white foam in the background. Since it appears someone roofed over the previous exterior of the house you don't have cavities between studs to put any type of fiberglass insulation up against the habitable area of the house. Easiest thing to do would be to insulate between the rafters of the right side of the picture and leave the existing alone.
It appears someone tried to attach insulation directly to the previous exterior of the house, there in the foreground? That is what you don't want to do. Fiberglass insulation gets its insulating properties from trapping air, smashing it down defeats the purpose. Which is why you wouldn't want to remove that foam and then reinstall it back on top of fiberglass, potentially squashing the fiberglass down. Also note the paper backing is the vapor barrier, you want to install that face towards the interior conditioned space.
edit: lightened the contrast on the photo