Yes, they mistakenly assign the sound jiao. But maybe it is also some kind of software limitation, because that character can also be read as jiao, as in 睡觉 shui jiao (sleep)
"Lost our way" or "lost the way" while grammatically correct it is seldom if ever used with the meaning of getting lost going somewhere/someplace. It refers to the fact that someone's path in life has changed in a negative way.