You have not clarified as to whether the judgments in criminal and civil cases are out of the same matter. Moreover, on what issue the judgments are different, that is also not specified.
In general, if the such judgments arose out of the same matter or issue, you may have to challenge the judgment that goes against you. You may bring the judgment of one court to the knowledge of the other court and/or use the reasoning / grounds for that judgment in the other court.
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