The steel inner hose should stay inside the hose, when breaking it should rest against the barrel adjuster (top-left)
If the inner cable hose is able to push through the barrel, it means the hole in it is too large (or the cable and hose too thin!) but also that the hose is really shitty quality for breaking like this
I'd recommend starting with buying the cable hose somewhere else, and maybe check the barrel adjuster as well, it should only allow the cable through

