How can I stop a dog from tearing up our rose bushes and other plants?

Try spraying Nasty Odors like pungent white vinegar or apple bitter. Or plant marigolds between vegetable rows, which repel dogs and other backyard pests, such as Mexican bean beetles, aphids, squash bugs, and whiteflies.

Try sprinkling hot pepper around the area.

First it is a Terrier - that is their nature - search and kill or destroy. I have a half breed terrier that scales 7 foot fences with ease and is 10. Training, training, training. Positive reinforcement for good behavior. Take low cost group classes at a local pet store. So worth the effort. And use the other suggested techniques here too. Just be kind and have a lot of patience.