I don't think DM helps with grounding at all. But it helps with inner silence, which helps you remain steady.
Grounding is activities that connect you with the earth. So exercise, working with plants, digging in the dirt,
playing in the dirt, burying yourself in the sand, swimming in the ocean, sitting by a campfire, dancing, martial arts, gymnastics are all grounding.
Asanas are different than exercise, because they can be grounding if you are doing stuff you easily do all the time. But if you are pushing your limits with stretches, backbends, splits, contortion type stuff it can release stored emotional energy and not be grounding at all.