Of course, but the thing is the
Old Gods are not bound by the laws of the Empire. They will happily take what Imperial law considers inocents child or no. This if I understand
@zxzx24's intent correctly would be asking them not to take innocent children sacrifices at all.
Could we instead ask them to tell us when children are sacrificed to them? Or do they have rules ,about not giving incriminating information about people feeding them? Because if a child is in the hand of someone who will sacrifice children, being fed to the old gods is one of the better options, and will be so all the more in the future, when almost all old god worshippers will live under our laws or the laws of our allies, and so such sacrifice will be an illegal act.
If the child is getting sacrificed either way, which seem likely to be the case for child sacrifices to the old gods in the future, I would rather prospective cultists feed them to the old gods than Daemons, and if the old gods then even tell us, that someone sacrificed a child that's even better, as it might allow us to catch criminals early.
Most Free Folk tribes do not sacrifice children... at least not to the Old Gods. There are colder beings who grant far greater boons for those sacrifices.
I would think they would do it occasionally in the winter, a tribe don't have enough food to survive the winter with the current amount of mouths, the elders have already sacrificed themselves, and the adults are needed for the tribe to survive at all, so for the tribe to survive at all, some of the children must die.
The traditional way to handle that, would be to abandon the children in the woods, but between the fact that leaving the child in the snow, is pretty much giving it to the Others, and the fact that sacrificing them to the old gods, will both make it more likely the child get into the proper afterlife, and grant the tribe a small measure of the old gods appreciation, I would expect some tribes, have sacrificing a child they can't care for as the way to do such things, as opposed to the traditional leave the child in the woods.