Could be any number of things. C heck the speaker wiring for shorts (stray wires) that may trigger protection. Otherwise could be a problem with the PSU to the power amp stage, or power amp chip died etc...
Unless something trivial, probably not worth fixing. I had an old Sony HT+DVD system blow up (literally load pop and smoke) a few years back - a quick look inside and even with my electronic background - just not worth bothering to try to fix - Sony specific parts, specialized tools needed for soldering SMT part etc and even if I could get the parts (if still even available), cost would have almost paid for a minimal budget AVR on sale etc.
Easiest fix may be buying a second hand unit damaged unit and transferring working work, but likely a damaged unit probably has the same problem.