Because garage doors are usually sized to snugly fit the dimensions of the garage itself making the door larger usually means making the garage larger.
Garage door increase height.
Older homes have smaller openings for garage doors making it more difficult to fit modern vehicles in.
A stout steel beam might span the width with less depth than the wood beam.
If you wish for the door opening height to increase you will turn the up or open screw in a clockwise direction.
One way to do it would be to get wall extensions for the entire the garage and then cut the roof of the garage off lifting it up to the height you want it.
An exterior shot might help.
It is possible to install larger garage doors to give.
Raising garage door height i think garage door panels are sized in 3 increments.
Without changing the roof above it appears that the only space available for raising the door is occupied by short 2x4 s or a max of about 6.
Turn it only a quarter of a turn.
The height of a garage door can be adjusted by tweaking the limits of the garage door opener which controls the opening and closing height of the garage door.
So just get one new panel for each side if you need to raise it up a few.