La permission ? Pourquoi ne pas la lui demander ?
NOT: La permission ? Pourquoi ne pas lui la demander ?
In the first example above ("demander Something à Someone"), the correct word order is "la(Something)" followed by "lui(Someone)", not the other way around.
On the other hand, in the following second example ("faire parvenir Something à Someone"), the correct word order is "me(Someone)" followed by "la(Something)".
La table ? Il vient tout juste de me la faire parvenir.
NOT: La table ? Il vient tout juste de la me faire parvenir.
What causes the opposite word order?