The scheme will include the creation of a new mixed-use community that will eventually house 70,000 residents.
The mammoth project, just south of the Russian capital, was commissioned late last year in response to the increasing demand for middle-class, Western-standard housing in and around the Moscow area.
McAdam and Stormer, who split from Alsop six years ago, plan to produce a series of housing types, including affordable housing for key workers and more expensive residential homes.
Other elements will include cultural, commercial and retail elements.
According to documentation, the project's brief also demands that the scheme's urban design takes advantage of the spectacular landscape that surrounds the 135ha site.