In my idea there are a separate branch of force users specifically dedicated to protecting the genetic creations/offspring of Palpatine. But after his death, they are ordered to kill the children in their charge by their superiors who have their own aspirations to the now vacant Imperial throne. Some carry out their orders reluctantly while others flee and are forced into hiding, facing threats both Imperial and from the nascent New Republic.
It borrows from NeuN (historical/alternative history series which follows Neun, the ninth child to carry Hitler's DNA, and the officer designated to be his protector, Teo Baker, as they travel across the country on the run from the Nazis after the project the children (10 in total) were meant for is cancelled (meaning said children are now effectively marked for death))
https://www.youtube.com/watch?v=OLlMQhPiOfM