Fix garage door sitting on asphalt driveway
You can cut it back and pour concrete.
A bag of asphalt cold patch would fix it cheaper, quicker and simpler, in keeping with the way it is presently done, by just building up the low corner.
The fact that the corner is now open implies that movement is continuing on the cracked slab from whenever the asphalt job was done this way (evidently to compensate for the cracked slab's movement up to that time.) As such, your proposed concrete repair may not last if the cracked slab is not done moving yet.