New Rear Breaks are thumping?

I find it really weird that they would go to the touble to write “no noise detected at this time” and “brakes work good now” or something like that. I have never heard of anyone writing something like that unless they were troubleshooting for that symptom. It almost looks suspicious that they’d write that on the bill. I have done brakes for a lot of years and never heard of anything going “thud” after it had a brake job. And you got heavy duty brake shoes, not drums as your post initially says. That probably only means they are metallic instead of a softer material. For sure, take it back. It could be the brakes coming off the stops and hitting something due to being put together wrong. Brakes should not make any noise, with the exception of a high pitch squeeling or squeeking when too hard of a pad is used after a brake job.