Taking your dog into Mexico?

We're taking our dog with us into Mexico. She's traveling on her pillow in the car's back seat.
I've been reading various different opinions on what is needed.

I assume the dog needs a recent health certificate by a vet and current rabies shot.
But some articles claim that the dog needs to be in a container (or kennel) without bedding, as the dog's bedding will be destroyed..

Can someone shed some light on what's actually needed?