No, it is definitely the cart after the horse - kindly check basic facts. The babies are surviving thanks to declining child mortality - population of regions such as Sub-Saharan Africa has grown from 434 million to ~1.3 billion in the last few decades.

Basically your assertion that "reasonable guarantees that fewer babies will be more likely to survive" is completely and utterly wrong. Desperate family planning is needed, but religion stands in the way. No amount of international aid will fix this fundamental problem.