[2020] 在外面耍的记录，为什么到家里就没有了？同步是开了的。但是启动器更新发生错误，是不是这个原因导致的？

Do you mean your played time in Steam isn't going up? Or is the save missing?

Thank you for the better translation! ^^

The launcher does not affect cloud saves in any way, that is all Steam. Make sure cloud synchronization is enabled on both computers.

Here's where the setting is found, though picture is in English.
https://www.howtogeek.com/wp-content/uploads/2019/07/ximg_5d28cee6246ce.png.pagespeed.gp+jp+jw+pj+ws+js+rj+rp+rw+ri+cp+md.ic.x6Eo0aPWfY.png