Medicinal and toilet preparations usually contain alcohol, and licensing for alcohol-containing pharmaceutical products is handled separately from the usual state-level drug licensing route. Under the Drugs and Cosmetics Act framework, this specific category of license is issued by the Central Government, not by the Director of Health Services, an excise commissioner, or the Central Excise commissioner, all of whom handle different, non-licensing functions. So the answer is Central Government.
Another way to see this is to separate "who taxes/administers" from "who actually licenses manufacturing."
Since none of the excise or health-administration bodies actually grant this manufacturing license, and this category is specifically reserved to the Central Government under the Act, that is the correct authority.
Therefore, the correct answer is Central Government.