AccessKey in Jquery

I'm not exactly sure how you're adding these event buzzers. If you add this in the question it becomes clearer your implementation.

Some examples of how you can do this:

If you are adding locally

If what you use is something like: $('.button').on('click, keyup', function(){ then you can add an event type check like this:

$('.button').on('click, keyup', function(e){
    if (e.key == 13){
        // correr a lógica do código para a tecla Enter, e depois
        $(this).click();
    }
    // etc

or alternatively if (e.type != 'click') $(this).click(); , but if you already have a logic to detect the key this implies that it is a key event.

If you have a global handset

If you have something like $(document).on('keyup', function(){ that will check the key then you should have an object that stores the relationship between buttons and keys ... for example:

Button 1

and then you can cache it at the beginning of the page load:

var btnsTeclas = {};
$('button[data-tecla]').each(function(){
    var tecla = $(this).data('tecla');
    btnsTeclas[tecla] = this;
});

And when you know the key you just have to do it:

var teclaPressionada = event.key; // ou outra lógica que tenhas para saber a tecla pressionada
$(btnsTeclas[teclaPressionada]).click();