The term "turning over to" generally means handing over or delivering something to someone. Its antonyms can be words like keeping, withholding, retaining or hoarding, which imply retaining ownership or control over something. Other antonyms include blocking, resisting, rejecting or refusing, which signify a lack of cooperation or agreement. Some more antonyms may include releasing, surrendering, relinquishing or yielding, which suggest willingly giving up possession or control. Ultimately, the choice of antonym will depend on the specific context and intended meaning of the phrase "turning over to.