Yes, both are grammatically correct. However, "continue your efforts" sounds a little more like a translation to English than natural English. I would say one of the following (examples): 1. "Keep pursuing your dream(s)!" 2. "Continue pursuing your dream(s)!" 3. "Keep trying to achieve your dream(s)!" :) Hope this helps!

Continue your efforts to achieve your dream is fine

Both are correct!, You have misspelled achieve though :D