Hit Command + A to Select All, on the Layers Palette select the "BG Texture" layer and copy ( Command + C ) the selection. Paste it into a new layer above the previous step "Stripe" layer and transform the texture a little bit by stretching its height. Name the layer "Stripe Texture."
Command-click over the "Stripe" Vector Mask miniature and go to Select > Inverse to inverse the selection. Then delete the extra texture leaving just a piece over the stripe. Next, change the "Stripe Texture" Blending mode to Linear Burn. As you can see, we’ve got a nice texture over the stripe, now Group both "Stripe" and "Stripe Texture" layers into a Folder named just "Stripe.