When viewing a product on the website you will notice that the order of the drop down attributes are displayed in a specific order

There are 2 ways in CounterPoint to control the order of these drop down attributes depending on the product type.

(1) For Regular Gridded Items in CounterPoint you can control the order as follows

Go to the Grid Tab for the item and click the Display Order Dropdown. This will display all the different combinations for display order. One the next product upload the order will be changed on the website

(2) For Parent/Child Items where you are using the Magento Parent Item form in CounterPoint:

Simply put the Grid Dimension Tags in the order that you want them displayed on the website.

Example: If you wanted to have "FLEX" displayed first and "HAND" to be displayed second then change the order as seen here