Moacir

This plugin allows you to reduce shipping rate dynamically according to products in the customer cart.
Each product can donate a value to reduce shipping rate, so if there are two products in the cart, one with 2.00 of discount and another with 3.00 of discount, if the shipping rate is 17.00 this plugin will reduce shipping rate to 12.00.
The idea behind this plugin is to improve your sales by transferring the shipping rate to product price avoiding customer to abandon on the checkout/cart page.

WooCommerce Shipping Discount

Ashraful Sarkar Naiem

oxygenz

“First Order Coupon Manager for WooCommerce” enables admin to offer discounts to their customers on their first order with various conditions like the minimum amount they need to spend to get a discount or whether users can use multiple coupons together.
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First Order Coupon Manager for WooCommerce

Maintain the first-order discount using this plugin.

WooCommerce Shipping Discount vs First Order Coupon Manager for WooCommerce