There could be many reasons that google home is not responding like if it is placed near any obstruction or noisy appliances, it might cause little bit interference so it keep it away from such things.
Also make sure your mic is switched on and the speaker also do not respond to voice input has been addressed in the Google Home Help Forums. you make check it there.

If you've tried all the above solution, log on to myactivity.google.com and search and listen to several of the voice recordings. If you hear static or anything other than relatively clean recordings of your requests and try performing factory reset as your last option.
If there still any issue contact Google home help for support.



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