How to launch a form from a Chrome extension?

Question

Browser extensions

In general, such a thing, I'm trying to fill in the field

<input type="text" value="10" maxlength="6" data="name">

I use jquery for this:

$('[data="name"]').val("100").trigger('input'); //Ввод значения в поле

Information gets into the field, but the handler on the site does not understand that I have entered new data.
This is not a full form, just an input field. Of course, I don’t have access to the handler, since my code works from an extension.
Not strong in jquery.
But maybe there are some interesting options?
Guys help me, I really need...