Baby cries non-stop if not carried

My LO is 2 months, is it normal that he can’t sleep without being coaxed,ie carried, rocked etc. Once he’s put down in his cot, he starts crying immediately regardless whether he’s asleep while carried. Won’t stop crying if he’s not carried. It’s only slightly better at night when he’s extremely sleepy and would sleep in his cot without waking up crying.