As one old enough to remember relining drum brake shoes the lining material came in rolls of different thicknesses and grades and it was just a matter of rivetting it on to the metal shoes. In the 1960s a company in Melbourne developed a method to stick the lining on without rivets (Raybond) and did very well.
I just searched "brake reline friction material", the material is available. I did some work on a Cox ride on with the variable drive system recently, the friction material looked just like brake lining.
