"To try this smoothie" means to taste or sample the smoothie, usually to see if you like it or to decide if you want to have more of it. Full definition
I haven't tried smoothie bowls yet, but they seem like they would be really good, especially this one! (kimscravings.com)
Try a smoothie recipe with a little banana and some chocolate protein powder, and nut butter as a decadent yet balancing treat. (nourishedwithnina.com)
I've always tried my smoothies with almond butter. (bakingandboys.com)