The phrase "turns topsy turvy" means chaotic or disordered. The antonyms for this phrase would be organized, orderly, steady, stable or systematic. When things are well managed and smooth, they do not go topsy turvy. An organized approach and a clear plan can prevent things from getting turned upside down, presenting a sense of stability and consistency. Instead of topsy-turvy, one would say things are settled, still, restrained or predictable. It is essential to maintain a balance between chaos and order to have a prosperous and successful life. So, instead of turning topsy turvy, let us strive to make things systematic and structured.