You may have to combine parts of your mount with parts of a Chevy Equinox mount if you need the mount that goes through the frame rail. I can help but you will need to post pictures.

Since I've never worked on a VUE, I'm out of this one.

Pictures of mount
 

Thanks for the help I have 4 pictures. Let me know if you need anything else.

https://cimg0.ibsrv.net/gimg/www.sat...3f3d715d51.jpg
https://cimg1.ibsrv.net/gimg/www.sat...3c30e6bf8f.jpg
https://cimg2.ibsrv.net/gimg/www.sat...6971413555.jpg
https://cimg3.ibsrv.net/gimg/www.sat...d4fa5ecf03.jpg

That is definitely the rear transmission mount. Why do you want to replace it? That mount and the front transmission mount only control torque rotation of the engine and transmission. The engine mount and the rear transmission mount hold everything up in the car.

I was told due to excessive vibration. I am replacing the front transmission mount. Are you suggesting I don't need to

I would look at the mounts that actually support the engine and transmission.

Front transmission mount
 

Replacing the front transmission mount removed the vibration at idle. I could see where the rubber was compressed.

Thanks for reporting back.