There is another possible Cause and Origin of having a Damaged Under-Hood Headliner:
Rodents will Tear It Apart while attempting to scavenge Nesting Materials by grabbing pieces and sections loose and then re-locating it right around all of the Nooks & Crannies within the Engine Compartment.
The primary culprit is a diminutive Rodent called The North American Deer Mouse. This Little Creature carries in its Feces and Urine ----> Sickness and DEATH <---- at the
Astonishing Kill Ratio of nearly 40% of the people who either INHALE the HANTA Virus Particles into their lungs… or Accidentally Transfer the Virus by direct contact with the Animal’s Droppings and Desiccated Urine into their Mouths, Nose or into Open Wounds. Rarely, this disease can also be transmitted by being Bitten or when Touching an Infected Animal's Blood....
So Handle Dead Mice in Traps with Great Care During Disposal!
There are Large, Flat replaceable Plastic Rivets holding the Headliner in place that should be gently removed after you Protect your Mouth and Nose with either a Paint Respirator or N-95 Mask, Eyes with Protective Lenses and your Hands via M11 Nitrile Gloves. Avoid disturbing the Nests and related areas covered in droppings and use NO CANNED or COMPRESSED AIR to break those Dirt and Dust Particles loose and have this friable material floating around you in the air nearby.
There are also After-Market outlets that sell this Generic Fibre-Glas covered in Black Fabric that can be cut into the approximate shapes of OEM Headliners and allow for its repair and replacement. Bag Up the remnants very carefully and dispose of these dreadful remnants in a responsible manner. The New Flat Plastic Disks just get pushed through the New Material and into the underside of the holes laid out in the Stamped Metal Struts for their retention.
Perform ALL of this work while Family Members, Strangers and Pets are advised to depart the area around the Vehicle.
There is No Treatment or efficacious Cure available for the Victims of a HANTA Virus Infection. For Clean Up... Rather use Bleach in Water or 5% Calcium Hypochlorite mixed with Water in a Bucket and then Wet Wipe down EVERYTHING in the Under-Hood Areas and SAFELY Dispose of EVERYTHING collected in this manner:
en.wikipedia.org
Don’t be either casual or cavalier about this issue. Even the survivors of this illness suffer for years afterwards with debilitating Organ Damage and a severe reduction in their quality of life. These Images
(Props and Recognition to @christo829 here for providing the GMT360 Rodent Damage Imagery portions that has shared) should bear out what you should be looking for under there... and assume for the sake of argument that being cautious in this event…
is the Wise Man's Move.