A managed move is very serious. You absolutely do not get one for lack of equipment or uniform misdemeanors. However truanting lessons is very disruptive and can be dangerous (if that's what's happening).
Most schools have a very long way to go towards accepting and adapting towards neurodiversity . However, they sadly reflect life in many (not all) workplaces. Letting students think that their ND excuses them from everyday life is doing them a misservice. I don't mean reasonable adjustments such as time outs, adaptive technology, smaller classes, and changing uniform (could go on with what SHOULD get provided but doesn't).
ALL students need to be able to interact in a safe and well behaved manner for the good of all. I mean the big stuff like not swearing at staff, not throwing equipment, not bullying others, Not wandering the corridors disturbing other lessons by shouting and banging doors. Sadly all types of young people, including those with SEND are unable to confirm to these very basic expectations.
The biggest issue for me as an ex teacher was when parents wouldn't work with the school to overcome difficulties because it was 'their condition and they can't help it.' I used to feel like saying yeah but there are five other students with significant SEN in the class of 32 whose sensory needs also need to be taken into consideration and your child is making their life very difficult.
TLDR: students with SEN can be supported to do well at school if parents are on board too, it's highly unlikely that your child is being moved for minor infractions. Also schools are shit for those with ADHD so I also have massive sympathy for your DD.