You should add a validate type to validate your datetimebox. Please follow this code.
<script type="text/javascript">
$.extend($.fn.validatebox.defaults.rules, {
futureDateTime: {
validator: function(value, param){
var dt1 = $(param[0]);
var dt2 = $(this).parent().prev();
var opts1 = dt1.datetimebox('options');
var opts2 = dt2.datetimebox('options');
var date1 = opts1.parser.call(dt1[0], dt1.datetimebox('getValue'));
var date2 = opts2.parser.call(dt2[0], dt2.datetimebox('getValue'));
param[1] = dt1.datetimebox('getValue');
return date2>date1;
},
message: 'The DateTime should be greater than {1}'
}
})
</script>
<input id="fechainicio" class="easyui-datetimebox" label="fechainicio:" labelPosition="top" data-options="onChange:function(){$('#fechafin').datetimebox('validate')}">
<input id="fechafin" class="easyui-datetimebox" label="fechafin:" labelPosition="top" validType="futureDateTime['#fechainicio']">