My theory:
The girls want more control over their career and more $$$. The best way to get both would be to start their own public company, but that is a major undertaking. Instead, Teddy offered a compromise: re-sign with YGE for group work and sign with The Black label for solo work. In exchange, the girls will get a larger cut at YGE and partial ownership of TBL. After announcing that they have joined TBL for solo work the company will go public (TBL currently has a CEO that specializes in taking companies public). TBL's IPO (initial public offering) will be huge with the BP girls, greatly increasing the value of the girls' shares ($$$). They will also get direct control over their careers as partial owners of the company and board members.
Lisa probably wanted to do more in her own country, Thailand, so as part of the deal TBL arranged to start up a Thai division, The Black Sea, that Lisa will have more control over.
They have not announced anything yet because they want to coordinate it with the IPO announcement to maximize the IPO price.