Sagemaker feature group async ingestion seems not working

[kefeing]

Initially I was using fg.ingest() and set wait to be false, and wrap this script in a docker image and pass to Sagemaker processing job. I notice the job succeeded, but I didn't see the data replicated to the offline data store (maybe not even in the online store).
After I set the wait to be true, the data starts to get replicated to the offline store.
How should I correctly use the async way to ingest data in the feature group?