Lyophilic and lyophobic are terms which explain the reaction of some solvents with water. There are some solvents which completely dissolve in water and there are still some that do not dissolve in water. Lyophilic is the term used for solvents that love attracting water, when they are mixed with water, they completely dissolve in it. The term is from the words 'Lyo' which means water and 'Philic' which means love.
Lyophobic, on the other hand, is the term used for solvents that do not attract with water by completely dissolve in it. This type of solvents hate dissolving in water, and hence they form insoluble solution. The term is from the words 'Lyo' which means water and phobic which means to hate. Lyophobic solvents do not mix with water because some charges in them are repelling those in water. Mostly, lyophilic solvents are inorganic in nature, while lyophobic solvents are organic in nature.