@uzma23 If you goto REST API Menu in Advanced settings of woocommerce you’ll find an option to “Add Key” enter the description and click generate, It’ll give you both the keys required to make the API call.
And no I wasn’t able to find any solution for that, I even spoke with the developers of the “TM Extra Product Options Plugin” and they said the plugin wasn’t designed to work that way so there is no solution. So for time being, I am making a nice JSON of the extra options and adding it to the order notes.