So the second link works for now, but with a still curious behavior. Clicking the First link will open my statistics as well, cause im authenticatet on my iphone. Saving this link to the homescreen and Clicking on it will give me project gc site which says i have to authenticate. Clicking the second link gives me my statistics same as above. But saving this link to the homescreen and clicking on it, gives me the statistics for me, but with an authenticate button in the headmenu. Clicking on an link, e.g to the d/t matrix tool will open a new safari window with the page where the header says autheticatet for theo100.
This workaround is usefull for my case, but still curious. Maybe Safari on ios don‘t save cookies for webpages saved as links on the homescreen.