If users run into an issue in which the enterprise sync is not syncing down a specific record to a local site, but the sync log shows no errors, it is likely that at some point the record was synced to the local site but then subsequently deleted.

If the record has not been edited since the initial sync it will not sync that record down again. To correct this issue, a user will need to edit this record from the Enterprise site, and then sync it down again.