The biggest issue here is baby being transferred into the cot whilst asleep. You could do with finding a way you are comfortable with to teach baby to be calm, relax and go to sleep all done in the cot, not in your arms.
Baby could also do with a comforter of some kind (toy, blankie, muslin) that becomes associated with bedtime comfort.
Then decide which method you want to do. At 14 months there are several options:
Gradual Withdrawal
Do all of the settling in the cot. Stroking, patting, whatever is needed. Baby will scream lots initially but you stay with baby throughout, comforting.
Over time reduce the movement (Stroking patting) you need to do to calm baby so that just your hand on chest/back calms baby down in the cot.
Then slowly reduce the need for you to be physically close to baby. All done at a pace that is slow, gentle and compassionate
Pick Up, Put Down
In cot settling unless baby gets very distressed, at which point you pick baby up and calm down. Then put back down once calm and continue as above.
Controlled Crying
Do bedtime routine, put put baby into cot and leave. If crying starts wait a set amount of time and go back in.