Detergent dispenser lid will not stay shut on Bosch D/W SGS5312GB/01

Yes you replaced the repair kit which often doesn`t! Best thing to do is to change the whole dispenser unit. Your model number is not recognised so I think your /01 is in fact a /07 so if so you need version 1 dispenser = part 00263088 a whopping price listed at £85.46 ! If you do not want to do that then you are going to have to take the door front off anycase, have a look at the levers and that brick red solenoid – if the push rod bit is out that`s why, it has stuck, you can buy that and the other associated parts separate from the whole dispenser unit but out in the field as a repair bod you would change the complete unit. You might be able to get that part cheaper, think there was a spares importer importing directly from the manufacturer where Bosch buys that part at half price but I could be wrong but worth checking. @ £85.46 it is a rip off.