I tried to create an order from the backend, but in the payment method, I can't see any information of the existing payment methods like the attached picture.
what payment methods have you activated in
System > Config > SALES > Payment Methods?
Anyway consider that the majority of the "on-line" payment methods are not available in the backend even if they have been activated.
This is due to the fact that Magento checks for the
$_canUseInternal protected property of the Payment Method class (extending
Mage_Payment_Model_Method_Abstract) that is usually set to
false for on-line payment methods like PayPal.
The rationale is that on-line payment methods require the user inserting private data which are not (or should not be) available to merchants (like Customers' PayPal account or Credit Card Number).
Hope it helps in some way.
You would have to go to the the following; System / Sales / Payment Method
Activate which ever one you need to use or any which needs or have been configured to a payment gateway. You can activate them via core code, but would mess things up for the future. Another way is could create modals and create an observer.
Hope that helps.