To enable real-time shipping rates from Easyship in your Checkout through Magento 2, please follow these steps.
Please note that you can change or limit the couriers shown at Checkout by adding shipping rules.
1) Log in to the Magento Admin with an Administrator account
2) Go to Stores > Configuration > Sales > Shipping Methods > Easyship
3) Enable Easyship in Checkout and set the Base Category
Once done, your customers should now see Easyship rates in your Checkout flow!
If the quotes are inaccurate in any way, please make sure that your dimensions and weights are entered accurately for all your products.