My best conversations with my sons have been when we are shoulder to shoulder. We are driving in a car, playing a sport, watching a game or working on a project. They talk more when we are already doing something.
It is different with my daughters. Our best conversations are face to face when we are at breakfast or sitting together with a cup of coffee.
Your dad probably wants you to do something with him shoulder to shoulder and your mom wants a direct conversation.
If you want to communicate better, consider adjusting your style. Regardless, keep having conversations.