Your application was forwarded to the state because it was under the same central body. If some subject pertains directly to the state government, application will not be forwarded. E.g: If there is any office of the Ministry of Health and Family Welfare (Central Govt.) in Punjab, it will be forward to Punjab. But if you file an RTI for some hospital in Punjab falling under the Punjab Government, if will not be forwarded by the PIO of Central Govt to the State Govt. Or may be they are kind with you. ;)
Further, to get the mail IDs of the FAA, pls visit the websites of the concerned departments' websites. Or may be you send it to the common mail ID with Subject as FA.