Many causative verbs have their objectives as the form of infinitive or participle, but not to-infinitive. You don't say like
I got my car to be fixed.
What I wonder is that why it is so? Can't you use it as something with a future vibe? Like when you distinguish between "remember V-ing" and "remember to V"?
Can't it be seen as below? (I know it's wrong but)
I got my car fixed (The car was fixed)
I got my car to be fixed (The car was going to be fixed)