How to encourage my husband to have sex after a baby?

You sleeping with the baby doesn't help. Let your baby sleep in a crib and talk to your husband. Tell him you miss the intimacy and are ready to make love again.Try and take some time out together away from baby. As long as you feel ready having sex again shouldn't hurt. Get your husband to see a doctor or get some painkillers for his back. You can't sleep in separate beds forever