I believe that the similarity between their experiments was that both experiments showed that living things only come from living things.
Pasteur's experiment involved a mixture resembling a broth, the one used in soups. He observed what the broth would look like after several weeks, and saw that in one of the containers where broth was, germs started to appear. He thus concluded that germs can only come from other germs.
On the other hand, Redi experimented with rotten meat. His view was that maggots in rotten meat cannot just appear there spontaneously, but are rather created by other maggots.