Brik is a Jewish surname usually from the Yiddish word brik - bridge. In many cases the family origin is the Hebrew acronym (notaricon) - Ben Rabbi Yakov-Kop(p)el.
In case of Osip Brik

Osip Brik

Osip Maksimovich Brik , , Russian avant garde writer and literary critic, was one of the most important members of the Russian formalist school, though he also identified himself as one of the Futurists....

 and his wife Lilya Brik

Lilya Brik

Lilya Yuryevna Brik is known best as a muse of Vladimir Mayakovsky. She was an older sister of Elsa Triolet and wife of Osip Brik. Pablo Neruda called her "muse of Russian avant-garde"...

 surname the surname came from acronym Ben Rabbi Yehuda Kagan.

• Lilya Brik
  Lilya Brik
  Lilya Yuryevna Brik is known best as a muse of Vladimir Mayakovsky. She was an older sister of Elsa Triolet and wife of Osip Brik. Pablo Neruda called her "muse of Russian avant-garde"...
  
  , Russian Jewish actress (sometimes misspelled Birk)
• Osip Brik
  Osip Brik
  Osip Maksimovich Brik , , Russian avant garde writer and literary critic, was one of the most important members of the Russian formalist school, though he also identified himself as one of the Futurists....
  
   (sometimes misspelled Birk)

The Polish surname Bryk from the old Latin first name Brictius, which was used more often in Poland centuries ago in forms such as Brykcy and Brykcjusz; or from the verb root brykac~, "to frisk, gambol."