Good morning! (here where I am anyway) and welcome to BYC!

You will end up up with A LOT of black chicks with most of these crosses. Some barred, but no sex links with your cuckoo being the male.
These are straight up calculations not taking into account what may be "hiding" under your white birds which I am going to assume are recessive white.
Cuckoo roo over white hen: black barred chicks
Cuckoo roo over black hen: black barred chicks
Cuckoo roo over blue hen: 50% black barred and 50% blue barred
Cuckoo roo over lavender hen: black barred chicks that carry the lavender gene.
The rest of the crosses do not matter which is the roo and which is the hen:
black x black: all black
black x white: all black
black x lavender: all black
black x blue: 50% black and 50% blue
white x blue: 50% black and 50% blue.
white x white: white
You may get a random partridge colored chick as this is often recessive in silkies.
Lavender is dilute of black and acts as black with any other cross other than another lavender colored bird.
Good luck!