Here you go
P22 (2.25% Cr-1%Mo) to itself ER90S B3
P22 to CS, you have several choices,
ER70S-2 or ER80S B2 or ER90S B3
ER refers to bare wire rod (GTAW/GMAW) process
The filler metal for P22 can be one of the three choices above based on design of the weld joint. In any case, the filler metal must be as strong as the weaker of the two base metals, in this case, carbon steel.
Do you know the preheat and post weld heat treatment requirements?