Hindi pa po, mama! 2 months is still too young for cologne or any fragrance on their skin, their skin is super sensitive pa at mas prone to irritation, plus maraming chemicals pa na hindi nila kaya. Kung gusto mo talaga ng nice smell, better to use a gentle baby wash lang or light baby lotion na safe para sa newborns, at i-apply mo sa sarili mo instead hehe, para parang nandoon ka pa rin sa baby kahit lumalayo ka. Pero best ask your pedia just to be sure, basta ngayon stay safe with plain, fragrance-free products lang!