Complex sentence: He keeps Annie in check, making sure that she isn't succumbing to her laziness, and while he may get exasperated by her many times, Hans trusts Annie to do a good job and comes to her aid when she needs it.
Split into simpler sentences: He keeps Annie in check, making sure that she isn't succumbing to her laziness. While he may get exasperated by her many times, Hans trusts Annie to do a good job and comes to her aid when she needs it.