The phrase "of all generations" is grammatically correct and can be used in written English.
It can be used to emphasize the broad scope of something. For example, "The novel has been a favorite of all generations."
Players of all generations want to weigh in.
"The noblest of all generations has left us," he said.
Her friends were of all generations, her life was long and full, and she loved completely.
Finally, of all generations of women, we best know the working world.
Most readers are women, of all generations, and they are passionate about books.
The shooting stunned people of all generations on both sides of the Atlantic.
For all their reluctance to reproduce, Greeks of all generations take family life very seriously.
Most marchers were students, but I saw people of all generations.
Yet his ghost has continued to exert an ever-more potent fascination over rock musicians of all generations.
We have the responsibility to protect the rights of all generations of all species who cannot speak for themselves.
"The productions have always aimed to be relevant and to excite people of all generations," he says.
