Cross Farm: User Profile Custom Properties do not show up in the consumer farm web applications

I have a two SharePoint 2010 farms, one is the publishing farm and user profile service is running on this farm. I have defined a couple of new custom properties, and after a while these custom properties do not show up at the consumer farm end.

So, on the publishing farm, I can udpate the user profiles with values in these custom properties. However, neither the custom properties nor the values got synchronized to the consumer farm. What puzzled me further is that some of the existing custom properties exist on the consumer farm, but not the new custom properties I recently added.

1. I have made sure the application pool accounts on both the farms being added to the administrators with full control permission in UPS on the publishing farm.

2. The User Profile Service proxy (connected to the publishing farm UPS application)  is associated with all the web applications on the consumer farm.

However, I cannot find any other related information on the web, nor from the ULS logs.