The use of the red surgical gowns at the birthing center is a homage to the original movie "Dead Ringers". That was the color chosen by Beverly/Eliot as portrayed by Jeremy Irons.
The giant poster Elliot sees passing by featuring Genevieve's face of series 'Rabid' is a nod of David Cronenberg's 1977 film of the same name and was producer/writer/director of 1988 film adaptation of 'Dead Ringers'.