Overtired baby refuses to sleep

During pregnancy, I had trouble sleeping at night and would play some games on my phone to tire myself out before I could finally fall asleep. My insomnia became worse towards the end of second trimester and lasted through the rest of my pregnancy. Now that the baby is out, baby would keep crying and refuses to sleep although there are instances where baby fell asleep for a few seconds before baby starts crying again. Husband is now blaming my ‘sleeping habit’ during pregnancy because it now falls onto the baby who refuses to sleep at night. Am I at fault for this?