Can the garage be moved after obtaining the building permit?

In both cases, the surveyor will have to create a new site plan.

Oh yes, then I can write another invoice :) Although I don't really like the answer "Ask the approval authority," I still want to give it here, because the construction or alteration of a garage in Lower Saxony is one of the projects exempt from approval, and thus 1.2 of the annex to §60 of the Lower Saxony Building Code provides enough leeway to spoil my additional business.

Does this also apply if the garage was applied for together with the residential building, or does this negate the procedural freedom?

Does this also apply if the garage was applied for together with the residential house, or does this abolish procedural freedom?

The question hits the mark exactly. You can see it either way. There is a building permit for the residential house and garage. A deviation from it is to be made. So a supplement. If everything were already built, the garage could (under certain circumstances) be torn down without a permit and rebuilt elsewhere. An obligation to obtain a permit for the change, just because the garage has not yet been built, would make no sense. Therefore, I would ask the responsible authority for their view. Because even if their opinion were legally untenable, who would be willing to engage in a years-long legal dispute. Furthermore, the local authority would also have aspects in mind that are not even mentioned here, e.g., floor area ratio calculation.

...Therefore, I would ask according to the perspective of the responsible authority...

There is nothing to add to that. Our shed was also not on the approved spot. Upon inquiry, the office requested an application for amendment as part of a supplementary permit (I don't remember exactly what it was called) and then everything was fine. It can be the same for you.

With us, it was only noted by the clerk in the file, no new approval required.

Hello everyone, we received our building permit for our house + garage in January. Now the planned building structures have been staked out. We noticed that our driveway is a bit too short. According to the drawings in the building permit, it is planned to be 6m - now we would like to extend it to 8m. Even after a planned extension of the driveway, we do not reach the 3m line anywhere. Is the shift still within limits or does it have to be reapproved? This is a construction in Lower Saxony. Thank you very much and best regards

It was the same for us, also Lower Saxony... also without boundary development due to the garage. We wanted to move the garage by one meter. A request for change is necessary: it cost 80 or 85€ and then only took 2 weeks.