Thank you for clarifying,
Since there are 2 radios that compounds the problem, we really should focus on just one, but much of the info I can give you here will apply to both.
For the issue of not responding to any commands,
Unfortunately, the issues you are experiencing are symptomatic of an internal hardware defect, meaning a faulty power supply or main/control board, though there are many possible failure points. This issue could be a manufacturing defect, but is also often caused by a power event (shock/surge, prolonged over/under voltage condition, etc).
This could also be the result of age related wear and tear; these bose radios typically have an expected service life of about 5 years.
There is one step you can take here, both as a possible fix, as well as a diagnostic evaluation:
1) Unplug the power cord from the outlet
2) Wait at least 1 hour (60+ Minutes)
3) Press and hold the power button
4) Keep holding power button while plugging back in, and for another 60 seconds after. When plugging back in, go directly to the wall outlet, bypassing any power strips or surge protectors.
If this reset process does not work, it would unfortunately confirm an internal hardware failure.
This is something that would require repairs to correct; however bose repairs are often not practical as it can cost as much to fix as to replace, and repair options are very limited.
Depending how you’d like to proceed here, I can help with repair options or recommending replacement options. Just let me know.
Best regards, ***** ***** for the news,