If you're using REST API you can use updated_at_min param with your GET to /orders.json endpoint.
Show orders last updated at or after date (format: 2014-04-25T16:15:47-04:00).
If you're going back 60 days or more you need to request full Orders access through your partner dashboard.
Sam Bazargan - Owner
Make sure you're getting the datetime format correct this works for us:
const created_at_min = moment(new Date()).format('llll');
Also you may have archived orders so you should specify the order status in params as well
Filter orders by their status.
Also these params don't look right: