Regarding partition done 24 yrs back

The partition of family land was done on the orders of Additional Director consolidation way back in 2000 , mutation was done in 2001 which was later reviewed and rejected as there was stay from High court and civil court. Now the case finally is decided from High court where the claims of the other party that they have purchased the land or adverse possession were denied. During this time period construction of houses and sheds were done by both the parties. But the party which lost the case and was in the possession of extra land , constructed house in the land which is not in their share according to the partition done in 2000 and neither they want to exchange this as they want that the partition should be done again according to their will which means that the new partition will be challenged and the same will be kept pending. Is there any way that the mutation of the partition done in 2000 be effected without getting into further litigation or appeals? And who is the authority to do this? Kindly suggest the best way as other party is not in the mood of exchange of lands where construction has taken place. And also don't want to loose the land and want to indulge in undue litigation to enjoy the share of property.