FIX? sub in cargo = vibrate/rattle of outside hatch area

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My sub is in the cargo area(spare tire well).
When enough bass is going, my hatch[from the top down to the handle] vibrates causing a rattle-like noise heard outside my Prii.

How can I cure this?

If I press down on the hatch glass, at the top, I can muffle the rattle some. That seems to be the main area/source of the noise.


Any (real world) help you can share from what has worked for you in a case like this?
I can't immediately see how I could insert sound material in that area from the inside.


Thanks
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Really appreciate the help.
Could you be more specific on how/where I could add the sound dampening material "between trim and metal"?

Also, how can I check/tighten the plates?


Thanks!