so Xennial and Zilennial combine Gen X or Gen Z and Millennial and Gen Z is a play on Gen X and Zoomer is a play on Baby Boomer. Gen Ɑ is also a reference to Gen X. We can see how certain elements of the generation names are being recombined here. So from this we can derive new potential generation names:
Baby Zoomer
Baby X
Xoomer
Moomer
Billennial
Gen B
Ɑ Baby
Ɑennial
Ɑmer
Babyllennial
The Silent Baby
The Silent Boom
Soomer
Gen Silence
Sillennial
The Zilent Generation
The Violent Generation
The Millennt Generation
The Baby Generation
Xaby
Zaby
Maby
BⱭby Boomer
The Ɑlpha Generation
etc