Complex sentence: As it is extremely sweet, Midori is not usually taken "straight"; it is generally used in a cocktail, e.g. the Japanese slipper, with lemonade, fresh lemon juice, lime juice, pineapple juice, or orange juice.
Split into simpler sentences: As it is extremely sweet, Midori is not usually taken "straight"; it is generally used in a mixed drink (i.e., a cocktail), such as a Japanese slipper. It is usually used in a range of long drinks--with lemonade, fresh lemon juice, lime juice, pineapple juice, or orange juice.