"Art sinew" is artificial sinew. It is plastic. Good ol' plastic - nothing more than that. It is not good as a bow backing. There is a polyester type and a nylon type: some have used the polyester type for strings, but I'd stay away from it, myself. For a backing, the polyester type MAY keep some splinters down, but there is much better and easier options.
Since it is plastic, it will not bond with a wood glue such as titebond. You would have to use another glue if you need to glue it down.
Don't use the stuff in bows. It's nice for bindings and stitching, but not as backing or string material.