If you look at the product you've linked, there are a few projects which have used it. One of them lists an adhesive. Another thing you could try is to leave a comment on their work, asking what they used. Most people don't mind being asked.
I don't know if this would work... they make special double sided tape for vellum. Vellum is pretty fragile so it might work..........you would need to try it on some scraps, first.
Depends on the look you want....
I have diecut the paper and then used Mod Podge to adhere it to the BG...adds a flat decoration to the page.
I have also diecut shapes and then used them as embellishments....for example a flower shape where I curled the edges, attached with a glue dot or brad and it's a 3D embellishment....
For tissue paper, I have used Mod Podge. You would sponge it on the background first and lay down the tissue. Then sponge Mod Podge over it. It will buckle a little but it gives a cool effect.
I used this kind of technique to make the background on this container:
