Yeah, as you have been told the airlines involved will try to get your checked luggage to MNL as quickly as possible. Have you filed a missing bag report with the airline flying LAX-MNL once you arrived at MNL? You need to get the WorldTracer reference from this airline to check the status of the bags.

1-2 days is probably a bit optimistic given the complexity of the itinerary, however, I would be surprised if doesn't show up in 2-5 days.