This simple solution enables you to change the name of the responsive menu from the default text which is MENU to something else.
All you need to do is go to your child theme folder > config > responsive-menus.php and add this line of code :
'mainMenu' => __( 'Menu Text', 'genesis' ),
to this existing code
return [ 'script' => [ 'menuIconClass' => 'ionicons-before ion-ios-menu', 'menuIconOpenedClass' => 'ionicons-before ion-ios-menu', 'subMenuIconClass' => 'ionicons-before ion-ios-arrow-down', 'menuClasses' => [ 'combine' => [ '.nav-primary', '.nav-off-screen', ], 'others' => , ], ], ];
And you should end up with something like this :
Tested using the Essence Pro child theme by StudioPress however should work in most newer versions of Genesis child themes.