I rock my baby to sleep or my wife nurses him till he sleeps. However the moment we put him into the cot, he wakes up and starts screaming. Then we rock him to sleep and when we put him into the cot, he continues screaming. The cycle repeats till we are very shag. Anyone has ideas how to solve this?

Welcome to my world. We have been experiencing the same thing. Our solution - put baby in baby carrier insert and then when baby is asleep, move baby in carrier insert to cot and let her sleep in carrier insert. Another solution is to use a wrap swaddle so she is all cozy and then move her to cot. You can also try cosleeping on same bed and breastfeed lying on the side. So baby falls asleep on his back or side and u move Him to his back.