Bean Factory Post Procesor (BFPP):
Used when we want to override XML / annotations, because Spring reads XML / annotations to create the beans. If you want to provide a different configuration to Spring during creation (at run time), then you need to use BFPP. Creating the internal dependency graph is a one time process.
Bean Post Processor (BPP):
The above step happened only once. It's like creating the "menu" of beans. After creating the bean, if you want to change the bean properties, you can't make any changes to the XML / annotations. Instead, you can use the BPP for bean configuration change after creation. The BPP has 2 execution areas, one before @postconstruct and one after @postconstruct.
Real Time Example:
You want to place an online food order from Zomato. While ordering online, you give a list of food (XML/annotations) to the restaurant. But, just before the restaurant starts making the food, you call them and ask them to change the dish (BFPP). Now the food is ready to be delivered and you've received it (Bean is created). But you want to make some modifications (like salt or chilly powder), and you can do this before tasting the food (because you know restaurants never put enough salt), or even after tasting the food (this is before and after @postconstruct). Once the taste is good, then the food is ready (the bean is ready to use).