The carport lean-to is completely open on three sides sharing one wall of the garage. It consists of only a roof. The posts supporting the outside edge are not embedded in the ground, they are sitting on concrete blocks (is that the problem?) and they are all vertical as measured by spirit level. That is not saying that they have not been shifted toward the garage to remove any off vertical they may have had. The slope of the lean-to roof is shallow, less than 1 foot rise in 12 feet of width so there is no effective gable area to fill in. The door frame is more than one inch off vertical (plumb bob) but because the door leans somewhat with the building, the gap between the door and the frame on the west side is 1/2 inch at the top but the door jams and sticks against the frame at the bottom. Vice Versa on the east side. I do not know how to push the top of the building eastward to the vertical nor how to hold it there should I succeed. I think shims under the studs on the west side would not do it. How is this done? Should I install posts on the upper side of the lean-to roof to take the weight off the garage roof? I could also brace the angles between the lean-to roof and the posts. These additions would reduce useable space in the lean-to and would look silly.
Answer:
A strategically placed anchor and an ordinary come-along will pull it back into plumb and hold it there but your problem then is to support the high side of the roof and that could be done with posts dug into the ground (reaching to below frost level) and a beam because the garage apparently does not have the integrity to do the job. Appearance is not going to mean much if the whole thing folds up because aesthetics became more important than safety.