Hey Scotty! I have a 2008 Corolla S with 173k miles that I recently bought, and I'm not sure if the slight engine vibrations while idling might be due to a bad rear motor mount or if it is normal for this vehicle (I used to drive a Camry, which I felt was a smoother ride).
I took a look at all 4 motor mounts, and they seem to be all intact, except for the one in the rear that is next to the exhaust manifold on the driver side, which appears to be broken, but I'm not sure if that is just part of the design of the bushing:
https://youtube.com/shorts/Fy5IPVvxI0w?si=aLCkZL4XwaGqKR0o
Please let me know!
Thank you,
David De Jesus
Looks like it has collapsed. Pictures of the rear engine mount at rockauto.com look like this - you didn't specify automatic or manual transmission but the rubber part for both looks the same (this pic is for automatic):

@chucktobias Yes, it is an automatic, thank you, I'll start getting some quotes for the part, thank you!
@david-masterdd-99 OEM would be best. There are online suppliers that sell Toyota OEM parts at a discount. Avoid Amazon and eBay as a lot of sellers on those platforms are foisting counterfeit parts on buyers.
@chucktobias Yes, I've had a bad experience with aftermarket mounts. Thanks for the tip!
appears to be broken, but I'm not sure if that is just part of the design of the bushing:
It's torn
