If your homeschooled and if you do the work but somehow it right will they make go back to public school or can just teach however in homeschool?

It depends on the laws and regulations in your state regarding homeschooling. In general, if your child is homeschooled and is not making satisfactory progress in their education, the government may require that your child return to public school or that you take additional steps to ensure your child's education. In most cases, it is unlikely that your child would be required to return to public school if you are able to demonstrate that they are making progress and meeting educational goals. It is important to check the laws and regulations in your state or jurisdiction to determine the specific requirements and procedures for homeschooling and to comply with any reporting or assessment requirements.