To do work angular-focus-manager with md-autocomplete (from Angular Material)

lobFocusManagerExtensions.ts

module LoB.Directives {
    
    window.LoBModule.directive("lobAutocompleteAutofocus", ["focusManager", "focusQuery", (focusManager, focusQuery) => {
        var focusEls = [];
        var focusElsCount = 0;
        var unwatchChanges: Function;
        var timer: number;
        function reset() {
            unwatchChanges = null;
            focusElsCount = 0;
            clearInterval(timer);
        }
        return {
            restrict: "A",
            require: "mdAutocomplete",
            scope: false,
            link(scope, element, attr, mdAutocompleteCtrl) {
                var unWatch = scope.$watch(() => {
                    var input = $("input[name='" + mdAutocompleteCtrl.scope.inputName + "']", element);
                    return input.length;
                },(value, oldValue) => {
                        if (value !== oldValue && value > 0) {

                            // desactivamos el watch
                            unWatch();

                            var inputElement = $("input[name='" + mdAutocompleteCtrl.scope.inputName + "']", element);
                            
                            // Copy from autofocus directive of angular-focus-manager
                            var el = inputElement[0];
                            var focusIndex = !attr.lobAutocompleteAutofocus ? 0 : parseInt(attr.lobAutocompleteAutofocus, 10);
                            focusEls[focusIndex] = el;
                            focusElsCount += 1;
                            if (!unwatchChanges) {
                                unwatchChanges = scope.$watch(() => {
                                    unwatchChanges();
                                    var tries = 0, maxTries = 1e3;
                                    timer = setInterval(() => {
                                        if (tries < maxTries) {
                                            var len = focusEls.length;
                                            for (var i = 0; i < len; i += 1) {
                                                el = focusEls[i];
                                                if (focusQuery.isVisible(el)) {
                                                    reset();
                                                    focusManager.focus(el);
                                                    el.focus();
                                                    break;
                                                }
                                            }
                                            tries += 1;
                                        } else { }
                                    }, 10);
                                });
                            }
                            scope.$on("$destroy",() => {
                                reset();
                            });
                            ///////
                        }

                    });
            }
        };
    }]);

    window.LoBModule.directive("lobAutocompleteFocusIndex",() => {
        return {
            restrict: "A",
            require: "mdAutocomplete",
            scope: false,
            link: (scope, element, attrs:any, mdAutocompleteCtrl) => {
                var unWatch = scope.$watch(() => {
                    var input = $("input[name='" + mdAutocompleteCtrl.scope.inputName + "']", element);
                    return input.length;
                },(value, oldValue) => {
                        if (value !== oldValue && value > 0) {
                            var input = $("input[name='" + mdAutocompleteCtrl.scope.inputName + "']", element);
                            input.attr("focus-index", !attrs.lobAutocompleteFocusIndex ? 0 : parseInt(attrs.lobAutocompleteFocusIndex, 10));
                            unWatch();
                        }

                    });
            }
        };
    });
}  

About angular-focus-manager: http://obogo.github.io/angular-focusmanager/

You cannot access to md-autocomplete internal input until your page is running, these directives allow you use angular-focus-managerfeatures.

You can use lob-autocomplete-autofocus attribute in your md-autocomplete html tags.
And also can use lob-autocomplete-focus-index attribute.