Trying not to hear

зажимать/зажать (себеd) ушиa to cover one's ears
Мальчик зажал себе уши руками, чтобы не слышать упрёки сестры. The boy put his hands over his ears, so he wouldn't hear his sister's reproach.
затыкать/заткнуть (себеd) (пальцамиi) ушиa to plug one's ears, to stick something (e.g. fingers) in one's ears to block out sound