I am a father and my son's age is only 6 months. Right after becoming father I use to be concern on the matter of the liability of the parents. Because I must be liable to Allah on the day of judgment about the mistakes/sins of my child. I will be questioned did I properly guide my children in duniya? So what Islam says about this? Even if I teach my child all the basics of islam, akhlaq, etc. will I be liable of the sins/faults of my child?

Once you do all you can to provide him with the right education Akhlaq Islamic manners until they reach the age of accountability. After that you are not held liable for their actions.