As it stands, on your add to cart page, your size selection list (called parent) is in its own form 'form1' and the color selection list (child) is in its own form 'form2'.
these both need to be contained within the add to cart form, which you have called mira_cart_1_ATC_.
At present, your add to cart form is passing size = "4" and value = "1" to the cart whenever you click the add to cart button.
What it isn't doing is passing the values from the lists, as they are not contained within the form.