I would try one of the spray adhesives. Mask the area off so you don't get the mother of all overspray everywhere. Let it tack up real good such that it doesn't soak through the cloth.
P.S. I use the same technique to fix insole liners in shoes, LOL.

 

 

The spray adhesives that you can buy in the stores, even the 3M adhesive (which is the best in the stores), are only a temporary fix. The only way to correct the problem is to take to an upholstery shop to have the headliner replaced. What is happening is the fabric is separating from the sponge and no amount of spray adhesive will restick it. You have to replace the sponge and fabric together unfortunately. Replacing the headliner should be about $250.

AK4wheeler

 

 

 

Watch video. Seems to work for many as a viable stop gap.

Great source of other good "hacks" as well.

 

papaw's dog ripped off the headliner on his 97. he used staples to hold it back on lol. i don't at all recommend it as it looks like sh*t