The non skid pad should stop the rug from bunching up.
How to keep a rug from bunching up on carpet.
While you could attach the tape side directly onto your carpet to hold the rug in place when you would remove the rug later you would have tape residue left on your carpet.
Place one sheet on the carpet and walk the item onto the plywood move it slowly one side at a time almost as if it was walking forward.
Remove the rug pad and create an x shape with double sided tape crossing the center of the rug.
Place the rug with the pad underneath on your carpet.
To avoid this it is good to how to keep area rug from bunching up on the carpet.
Frame the edges of the rug with additional tape.
One of the best solutions is to use no skid area rug pad.
Apart from keeping the area rugs in place non skid rug pads increase airflow thus helping in vacuuming.
The non skid pad should stop the rug from bunching up.
Place the rug with the pad underneath on your carpet.
Add twice the length and twice the width together and add twice the diagonal or corner to corner measurement for your strip length.
Place the rug pad on the wrong side of the area rug.
These are available in different shapes and sizes.