I put my home made baffle/reducer right back at the outlet of the muffler. I did cut about 1.5" of that mesh stuff away from inside the muffler so the reducer would fit tight against the outside muffler case. Also, if you do what I did, you'll want to take your Triumph mufflers with you to the muffler shop so they can fit the reducer to the ID of your mufflers. The Triumph mufflers are just a little shy of 3" ID.
Good luck with your project.