Both Halton Borough Council, in the north west, and Hull City Council, in East Yorkshire, were given a “requires improvement” grading after being inspected in November.
Including Halton and Hull, which were previously rated as “good” and “adequate” respectively, a total of 44 authorities have now been inspected as part of the three-year programme which is due to be completed by November 2016.
In Halton, inspectors said that although early intervention is increasingly effective in supporting children and families, the quality of plans, including child in need, child protection, and care, pathway, and personal education plans are not consistently good enough.
In Hull, inspectors praised services for families who experience domestic abuse, which they found helped improve the lives of children. But concerns were raised about management oversight of children's cases, delays in some cases, and long waits for children to receive child and adolescent mental health services.