how is the ufa still in business?

The purpose of the UFA was to promote Germany during WW1. Due to a financial collapse in the film industry the UFA was about to head into financial ruin when a powerful financier Alfred Hugenberg, a future Hitler supported, brought the place in 1927. He made to company indulge itself into films the promoted German nationalism.

When the Nazis came into power in 1933 films became promotions to the general public about the Nazis also known as Nazification. Without promoting Nazi Germany then the UFA wouldn’t have stayed in business and used tactical ways to continue to produce films during the war era.

UFA-Wocheschau (Germany) - CLG Wiki
Movies of a turbulent century: German film company Ufa turns 100 | Film |  DW | 18.12.2017

VGIK

The VGIK was founded in 1919 by Vladimir Gardin and is the oldest film school in the world.

CILECT – CILECT CONGRESS 2019

It was originally called the Moscow Film School but since 1986 the school has been named after Sergei Gerasimov.

CILECT – CILECT CONGRESS 2019

In 2008 the institute became a university.

VGIK Auditorium in Moscow | Paolo Lettieri

classic soviet constructivist film

‘Name at least 3 other films identified by critics as classic Constructivist films [illustrate your post]

3 films that are regarded as classic Constructivist films by critics are:

Fragment of an Empire [Friedrich Ermler, 1929]
The New Moscow [Alexander Medvedkin, 1938]
The General Line’ [Sergei Eisenstein, 1929]