Household chores

"I like no wash the dishes, but I have that to do it. I do the meal and my wife wash the dishes. I'm democratic. Others time we are exchanged work, she cook and I wash the dishes or we do it all together. I consider that the man should cooperate with housework."

This is very good and your meaning is clear.  Here's another suggestion for sentence structure.

"I do not like doing the dishes, but I do it anyway.  Most times, I do the meal and my wife does the dishes.  Other times, we either exchange jobs so that she cooks the meal and I clean up, or we just do it all together. I'm democratic and consider that a man should co-operate with the housework."

I like no wash the dishes, but I have that to do it. I do the meal and my wife wash the dishes. I'm democratic. Others time we are exchanged work, she cook and I wash the dishes or we do it all together. I consider that the man should cooperate with housework.

I understand what you mean, but it would be better this way:

I don't like washing the dishes, but I have to do it. I do the meal and my wife washes the dishes. I'm democratic. Other times we exchange work, she cooks and I wash the dishes or we do it all together. I consider that the man shoul co-operate on the housework.