Under Trade History, you can view all your filled order records (i.e. buy and sell orders that pushed through). In the Order History tab, you can view both your filled and canceled orders.
To further help with the understanding of the difference between these records, let’s look at two examples:
Example 1: You place a limit buy order for 0.9803921 BTC at the limit price of PHP 5,100. Soon after, if a seller is willing to sell BTC to you at that specific price, a trade between you and the seller takes place. Thus, your order is filled. You should be able to view this transaction on both the Trade History and Order History tabs.
Example 2: You place a limit buy order for 0.005 BTC at the limit price of PHP 1,000,000. The order remains open while you are waiting for a seller. After some time, you decide to cancel the order as it’s taking too long to fill. This would be considered a canceled order, which will only reflect on your Order History (unlike Example 1).