Hello,

Navigate to Theme Settings > Shop > Variable Products > Grid swatch attribute to display > Choose one of the attribute that will be shown on the product grid. You can show only one attribute in the grid.
https://ibb.co/sgfWvhk

When you choose the quick shop type on variation click. When you click on the one attribute then you will see the other variations and then you can add to cart.
https://woodmart.xtemos.com/theme-settings-tooltips/quick_shop_variable_type_variation.mp4

And when you choose the quick shop “select option”. You need to click on the select options button and you can choose the variation and can add it to Add to cart.
https://woodmart.xtemos.com/theme-settings-tooltips/quick_shop_variable_type_select.mp4

Best Regards.