You can say "そのゴールデン doodle/犬は小さくて茶色です" (Sono gōruden dūdoru/inu wa chiisakute chairo desu) for "the goldendoodle/dog is small and brown."
If you want to say "the goldendoodle/dog will be small and brown," you can say "そのゴールデン doodle/犬は小さくて茶色になるでしょう" (Sono gōruden dūdoru/inu wa chiisakute chairo ni naru deshō).