You need to use an input audio stream which has the AcousticEchoCanceler effect applied.
The SpeechRecognizer API doesn't have a way to simply turn that on. You need to capture input audio yourself, then pass that into the SpeechRecognizer through EXTRA_AUDIO_SOURCE.
The input audio stream needs to be configured in a way that supports the AcousticEchoCanceler effect. https://stackoverflow.com/a/38021196 has more details on that.
Since you asked about Google Assistant: apps like that probably don't use the SpeechRecognizer API since they're trying to detect a specific phrase (a more specialized model would be more effective).