In English recipes, there are generally two different types of shortcrust pastry: sweet and plain. We have a whole separate guide to making sweet shortcrust pastry, also called sweet pastry, which you can find here.
In French patisserie, however, there are many different types of shortcrust pastry. Pâte brisée, pâte sucrée and pâte sablée are the three most common ones. Pâte brisée is most similar to English-style unsweetened shortcrust pastry, and is made as described above by cutting butter into flour and then adding liquid. Pâte sucrée is very similar to English sweet pastry, and is made by creaming together the butter and sugar first, and then adding the flour. Pâte sablée is made by first cutting butter into flour, and then adding sugar and liquid.
The nuanced differences between the textures of pâte sablée and pâte sucrée are described in more detail in our guide to making sweet pastry, but essentially pâte sablée uses more butter and is much more tender and ‘short’ than pâte sucrée. It is also harder to worth with, as it’s softer and so needs to be pressed into tart tins with your fingers rather than rolled out.