What can I do about my new driveway that is higher than the garage floor?
Looks badly done - grass should have been removed before paving, grade fixed if needed so water won't run from driveway into garage.

For a crude fix, place a slot drain right up against the garage to divert water, and infill with lots of "cold patch" to make the slope inbetween as smooth as possible, rather than this huge drop at the end of the pavement.

For a better fix, hire a different paving contractor...