How can I use other payment gateways to sell Moodle courses using Edwiser Bridge plugin?

You can use WooCommerce Integration plugin to make use of WooCommerce and its compatibility with various available payment gateways. 

Here is the list of payment gateways add-ons available for WooCommerce: https://woocommerce.com/product-category/woocommerce-extensions/payment-gateways/