The population in and around Omaha and Lincoln, where Democrats are making big gains, is exploding out of control while it's decreasing if not completely collapsing almost everywhere else, where Republicans have little room to improve anyway since they already dominate the rest of the state. Look at this map of population growth since the last census:
Nebraska will continue to trend leftward, but don't expect Democrats to win anytime soon unless the party figures out how to appeal to rural America.
While the metro areas in the eastern portion of the state are obviously growing faster than the state average, those county results actually appear pretty random...
A lot of that randomness is because a lot of these counties are extremely low population. Cherry, the giant one at the top, has only about 5-6 thousand people, and Banner County on the left (growing by more the 5%) has less than a thousand. It's just no comparison to the growth of Lancaster, Douglas, and Sarpy. With the exception of a cluster of small cities, mainly Kearney and Grand Island near the eastern border of NE-03, all of it is bleeding population aside from an occasional random little county that's staying afloat. Even those growing cities I mentioned are very small. The closest county to Sarpy in population is only about 60,000 people.