To me, treating someone with respect is a lot to do with treating them with dignity. But what you seem to be getting at? Helping your male partner feel like he's fulfilling his role in the traditional sense, I'd probably come at that by expressing gratitude for those times when you feel like he's looking after you.
If this is a big issue for him, it may be that he's developed a maladaptive schema in relation to his need to feel respected. You could read up about schemas which may help. A schema is like a core belief that we develop about ourselves or the world and causes distress and dysfunction. In this case, it may be like he's seeing the world through what is basically a pair of glasses that interpet everything he sees and experiences through this cognitive distortion. To him, he may be interpretting his own value as "I'm only valuable if people respect me/I'm seen as a real man".
Helping him tackle that sort of underlying belief would be demonstrating to him that a) he is a real man, just as he is; and b) he has value, just as he is. You can help reinforce that through reflecting that to him through your own behaviour. Asking him for his opinion, for example, and letting him know that you value what he thinks (that doesn't mean always agreeing, but showing that his opinion counts). And yeah, thanking him for his contribution, and acknowledging things he does that you couldn't do yourself - "thanks for shifting that pile of bricks, I couldn't have done that myself..." It's basic stuff, but the trick would be consistency and regularity.
When he's not talking to you, acknowledge how your life improves when he does start talking to you again. Stuff like that. "You really have become my other half, I do so much better when you're in my life." A lot of it is "I appreciate you" at its core, you know?
That said, tackling those sorts of core beliefs can only go so far. You can help, but ultimately the change, developing self-esteem and self-acceptance without needing to demonstrate manliness needs to come from him.