This is pretty much the mental load and its infuriating.
A possible solution, if he's a man who genuinely wants to be an equal partner (many say they do, but really don't), is to split tasks into distinct responsibilities, including all the THINKING that goes with them. So, for example, if he's in charge of laundry, that's everything - he does the laundry, keeps an eye on detergent levels, pays attention to the fact that there's PE this week and the PE kit therefore needs to be prioritised etc. He can potentially, ask you to hang up a load or put one on if he knows it needs doing and he can't, but it's HIS task.
In our house, DH still doesn't actually do much of the thinking but has stepped up to do a lot more of the day to day ad hoc tasks instead - so he has an annoying habit of not remembering to turn the dishwasher on, but will routinely empty it when necessary or fill it whie tidying the kitchen. Basically, he has zero ability to think ahead so again, for example, he simply can't proactively think about about what laundry is "urgent" vs "can be done tomorrow" but after discussions when we first moved intogether, does put laundry on often, hangs out more of it than I do (I often put a load on and he hangs it up when he comes in) and does 90% of the folding/sorting/putting away - ie the sort of tasks that are less about thinking and more about just wandering into a room and getting on with what is right there in front of him. If I know that we need whites as we're running out of socks and underwear, I'll either put it on or specifically tell him to put a load of whites on.
It (mostly) works for us. I do get annoyed on tasks that are 100% his that are relatively small ones - eg bins - when he gets completely surprised that we're now out of liners. This morning, having fed the cat the absolute last scoop of his food, he asked me if we "need cat food". Needless to say, it's been ordered already and is being delivered this afternoon. sigh.