Brochos.com
Applesauce

(only if eaten alone)

If there are recognizable chunks of apple

Brocho before eating this: Borei Pri Ha'eitz

Brocho after eating the proper shiur of this: Borei Nefashos

If it is completely smooth

Brocho before eating this: Shehakol Niyeh Bedvoro

Brocho after eating the proper shiur of this: Borei Nefashos

Source: Based on correspondence with The Orthodox Union