AFAIK no. The Avow beliefs do not resemble the FLDS, or the LDS church. The LDS church does not does not recognize or approve of Avow. However, Avow tells their members that they are a secret society of the LDS church sanctioned by the LDS general authorities. And to protect this secret society, the LDS church will deny it's existence. What a crock. The Avow members buy the crap being fed them.
I know this is more than you asked. But I wanted to make sure people understand that the LDS church is not involved. In fact, I expect in the near future, the LDS church will make this clear to the public and their members.
Disclaimer. I am not LDS, but live in SLC. I do have friends and family that belong to the LDS church.