By law, the education must be suitable to the child's age, ability, aptitude, and any special needs they have. The law is vague on what that means, making it very difficult for a Local Authority to prove that a child is NOT receiving a suitable education.
In practice, LAs often make empty threats. Some LAs seem to have it in for home ed families and make all sorts of untrue claims, threatening (and in some cases issuing) disproportionately high numbers of School Attendance Orders. Individual judges may tell these LAs off, but there is no comeback and so they just carry on. Most LAs are more reasonable, though there is no mandatory staff training and many don't grasp how home education works, leaving us to explain it to them!
Anyway, it is rare for Local Authorities to win in court against parents who get good advice and who resist sending their children to school. I would suggest that you simply provide the education which YOU know to be best for your child, rather than second-guessing what approach might please the LA. Then it's a matter of communicating clearly to the LA about what you are doing.
When the LA approaches you to ask for information about how you are educating your kids, you can get expert help to write a good report describing how you are doing it. For example, volunteers at the home ed charity Education Otherwise offers a report-checking service to its members, or to non-members who make a donation and then send in a draft. They can help ensure you include the right level of detail so your report should be acceptable.
If the LA thinks the education isn't suitable, they must explain why and give you an opportunity to address their concerns. It's worth bearing in mind that there's no historical offence of having failed to educate your children in the past: all that matters is whether you are NOW doing so. That means even if you were actually doing a bad job, you could still pull your socks up, sort it out, and your children wouldn't be forced to school.
The whole legal process is long-winded. Along the way you have numerous chances to have another go at explaining why the education is in fact suitable, if you didn't explain it well in the first place, or improving the education if it wasn't actually up to scratch. Of course, ideally you will get it right first time and save yourself time and trouble. But it is not an absolute disaster to make mistakes.