Owners/service Manual problems of the 2014 Chevrolet Cruze

Our chevy Cruze 2014 ltz has a push ignition button to turn the vehicle on. I dropped my husband off at work and drove to a shop 20 miles away. When I turned off the vehicle, the warning message displayed no key transmitter (this was the only time this message became present). I realized my husband had the keys in his pocket. I could no longer turn on the car or do anything with it besides lock it. I had to crawl through the back seat, to use the trunk safety latch (since no manual trunk release!) and get my stroller out for my baby. The car will signal if passengers seat belt is off when the vehicle is running, but it seems very strange the car drove the 20 miles without a key and no warning there was no key in the vehicles premises. This really could have been a huge safety issue had I stopped in an emergency lane and been stranded. The car must either cut the engine off immediately once the key leaves a certain foot distance or like the seatbelt warnings that are both 'auditory and visual' needs to be corrected to this same specifications. It may seem like a minor thing, but we are a military family stationed overseas, and being stranded abroad on unknown roads was a huge disaster this week especially with a baby on board the vehicle. Please I beg you to have the Chevrolet/gm motors make an immediate change and or recall to this issues.