It depends on their genetic make up. What each parent is carrying. There are several combinations that can lead to different outcomes.
Starting with the basic both parents are black (Kb), one has dilute gene (causing them to be blue dd) the other has liver gene (makes chocolate bb). If neither parent is a carrier for the other recessive then you will get
Black pups who carry blue nose / red nose Kb/ky Bb Dd
Probably some buckskin, fawn or red, Those pups would be ky/ky (which allows Ay/Ay expression) and carriers of blue nose and nose too of course. As its its probable they carry the recessive gene which allows the A locus to express. Though a couple of their pups may inherit 2 alleles for black which means they will produce entire litters of black pups. (there can be exceptions).
If the chocolate carriers blue nose (Kb/ky bb Dd), but blue (Kb/ky BB Dd) doesn't carry red nose you would see
Black Kb/ky or Kb/Kb Bb Dd
Blue Kb/ky or ky/ky Bb dd
Blue fawn Ay/Ay ky/ky Bb dd
Red, fawn or buckskin Ay/Ay ky/ky Bb Dd
The Ay/Ay is present in all examples (this mating and all other examples unless otherwise specified) but not allowed expression
If the blue carriers red nose (Kb/ky Bb Dd), but chocolate doesn't carry blue nose (Kb/ky bb DD)you will see
Black Kb/ky or Kb/Kb Bb Dd
Chocolate Kb/ky or Kb/Kb bb Dd
Red, fawn, or buckskin with black or red nose Ay/Ay ky/ky Bb Dd or bb for red nose
If both carry an allele for the other you (Ay/Ay Kb/ky bb Dd for the chocolate and Ay/Ay Kb/ky Bb dd for the blue) ) could see.
Black Kb/ky or Kb/Kb Bb Dd
Chocolate Kb/ky or Kb/Kb bb Dd
Blue Kb/ky or Kb/Kb Bb dd
Champagne / lilac these dogs arr homozygous for both genes, they are bb dd.
Red, fawn or buckskin black or red nose Ay/Ay Ky/Ky Bb Dd or bb Dd for red nose
Blue fawn Ay/Ay ky/ky Bb dd
There is also the possibility that one of the parents has a brindle allele. Brindle is dominant over the A locus also (and over the allele thst allows A to express of course), but black is dominant over brindle and will mask it. It really wouldn't matter which parent had a brindle and which had recessive allele if a pup inherented one from one parent and the other from the other parent you would get brindle, chocolate brindle, red brindle red nose or blue brindle. If a pup got the brindle allele but black from the other parent it'd continue to be carried, the pup would be solid black, blue or chocolate.
Example
Let's say sire Chocolate carrying brindle
Ay/Ay bb Kb/kbr DD
Dam is blue
Ay/Ay Bb Kb/ky dd
If pup gets kbr (brindle) from sire and ky from dam they will be brindle.
You could also say both are carriers for tan point (At/at) in which case some pups will be black and tan, in above examples where you have blue, chocolate or lilac you'd have a possibility to have those colors as tan points. With the brindle you can have brindle points in the tan as well.