So chuck it just delete the autocorrelation from the residuals and we can consider the resulting residuals pattern as correct and publish paper with corected residuals and the process is scientifically right
You should just indicate that you used CORC method and there is no need to write out the parameter as well as the pattern of the autocorrelation. And in publishing a paper you don't have to show the resulting residual pattern. A referee should know what CORC method is, otherwise, the referee should not be refereeing the paper.