One problem related to noises during shifting has been reported for the 2013 Chevrolet Equinox. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Chevrolet Equinox based on all problems reported for the 2013 Equinox.
Smelled burning oil in garage. Checked under vehicle and noticed large puddle of oil and underside of rear engine soaked with it. Towed to dealership of purchase. Was notified that it was pcv value having moisture/condensation in it and freezing. This occurrence put pressure on the engine and seals. The rear seal connecting to the transmission is what failed. It was a cold day. The car was in a parking lot until end of shift. My wife said it did not start as fast as it normally does. There was not shuttering of the engine, no loud clacking sound and not one light icon lit up. I noticed a trail of oil into the garage in our driveway but no trail in the street. I assume it had just occurred when she was arriving home. She was braking to turn into our driveway. Her route from work is primarily state roads with speeds of 35-55 mph and very often has deer crossing the roads as there are no road noise barriers or tall fencing. She arriving home at the normal time but I was able to pick up our sons. So she was able to just go home. The weather was cold (approx. 6-8 degrees). I have no reports, invoices or photos as the car is currently still in the shop since Friday February 1st. Today is Wednesday February 6th 2019. I have found a lot of information online regarding this issue, TSB #14882. Seems to be very common.