If the bark has been stripped off all the way around the stem or trunk, the plants should come back. The rabbits and deer do like to eat the nutritious flowerbuds so you may not get as many (or any) flowers on early flowering shrubs like rhododendron or lilacs. This damage will continue as long as it is cold so you may want to get a tanks sprayer and start applying repellent…here’s a link to more on that.