Noodles and brake cable are pretty standard. I've never seen a case where a noodle or its liner was not large enough for a standard brake cable. Yes, the noodles should have a liner in them. You can pull the cable stop out of the top of the noodle (or "push" the liner out through the top with the brake cable inserted into the exit end). With the liner out, does the cable slide smoothly through it? It should.