The DNA splicers will not create the original.
Meaningless technology will not create unity, only mangled half complete husks.
To return Kyurem to its original splendour, Black and White must first cease to exist in the heart of the people. When strife and discord leaves the hearts of the people of Unova and Reshiram and Zekrom no longer belong to two separate parties, the God stone will suddenly be filled with a brilliant power. Giving the held item to Kyurem will then allow the cogs of time to turn backwards, and then the Original will return.
>>https://bulbapedia.bulbagarden.net/wiki/List_of_unobtainable_items#God_Stone