The phrase "reckoning on" implies that one is counting on or expecting a certain outcome or result. Some antonyms for "reckoning on" could include doubting, mistrusting, or distrusting. These words suggest a lack of confidence or faith in an expected outcome. Other antonyms might include disregarding, ignoring, or overlooking, indicating a deliberate choice to not rely on or consider a particular factor. Finally, antonyms for "reckoning on" could include accepting uncertainty or unpredictability, indicating a willingness to let go of expectations and adapt to whatever may come.