Angularjs OrderBy on ng-repeat doesn’t work

$scope.teams isn’t an array (it’s an object of objects), and the orderBy filter only works with arrays. If you make $scope.teams an array, it will work:

$scope.teams = [
    {
      id: 100,
      name: "team1",
      count_win: 3,
      count_loose: 2,
      goal_average: 2,
    },
    {
      id: 200,
      name: "team2",
      count_win: 3,
      count_loose: 2,
      goal_average: 1,
    },        
    {
      id: 300,
      name: "team3",
      count_win: 1,
      count_loose: 2,
      goal_average: 1,
     }
];

Or, you can add a special filter that works on objects, like this (borrowed from here):

app.filter('orderObjectBy', function() {
  return function(items, field, reverse) {
    var filtered = [];
    angular.forEach(items, function(item) {
      filtered.push(item);
    });
    filtered.sort(function (a, b) {
      return (a[field] > b[field] ? 1 : -1);
    });
    if(reverse) filtered.reverse();
    return filtered;
  };
});

And use it like this:

<tr ng-repeat="team in teams | orderObjectBy:order_item:order_reverse">

Note that this custom filter will not work with an array of sort orders as in the second part of your question.