If it's ok to ask, what context was this said in, and what context did you hear this in?
To somebody who is struggling with social interaction and high anxiety when faced with certain social situations, it can be helpful to first realise that they aren't being forced into a discussion that they don't feel able to have - so if that is what your husband is dealing with, then somebody saying that if he doesn't know what to say, then he doesn't have to respond, is a sensible and therapeutic suggestion.
Mimicking is something that people that struggle interpersonally do use to help them get the right tone in an interaction. But that is different than what you have relayed here.
But it's not about you getting over it or stopping telling him how you feel, nor about him never responding to you talking about your feelings - that's very all or nothing. The way forward is most likely in learning how to communicate in a way that you are both comfortable with.
Have you tried couples therapy at all? It might be helpful.
