Who store seed phrases data
who store the private key adresses of these seed phrases, 


The private-keys are generated from the seed-phrase by a mathematical function. There is no need to store a list of seed-phrases and corresponding private-keys.


  I suppose it is the wallet software provider


No, you should be the only person to know or store your seed-phrase. Ideally it should not be stored on a computer of any sort. Best practise is probably something like punch it onto metal plates - you can buy letter punch kits to help with this. Ideally you'd provide a few trusted relatives with overlapping subsets so that any two of them working together can retrieve your legacy if an airplane lands on you in five seconds from now.