If Eren Jaeger dies without transfering his titan powers, will both powers transfer to the same child? It's told in the story that if a titan shifter dies without transferring his power, this power will go to an eldian person who just was born. If Eren Jaeger dies without transferring his titan powers, will the attack titan and the founding titan go to different persons?

Note that his is not a duplicate of What happens to a titan shifter if they die without being eaten as this is not about what happens when a titan shifter dies. But what happens if a titan shifter with 2 powers dies, which is not answered in the answer.
I think Yes.  According to the manga, if the host of the titan body dies, their power goes to the newly born child.
And since Eren has now acquired more than one titan's powers, then if Eren dies, then each of his powers will go to separate newly born children.
Here is a fandom theory if you would like to read... that can answer much of your questionsfandom theory
Warning : there might be some spoilers in the link, read only if you have read till current manga chapter