I was having that issue, until I did the following steps:
1. Go to the settings in the FB beta app (tap the lower hamburger icon, scroll down, tap "settings") and tap the "Connect to Phone" option.
2. Tap "Sync Now"
3. Wait for a bit and go to the "People" tile. The newsfeed should include "Facebook Beta" as one of the sources. If not, something went haywire with the "Sync Now" action
4. Assuming "Facebook Beta" shows up as a newsfeed source, swipe to the contacts view and tap "showing contacts with phone numbers", or whatever you have as accented text at the top, directly underneath the "Contacts" text.
5. Scroll down to the bottom, and ensure that the "Facebook Beta" option is checked. If not, checking that option should fix the issue.