When you go into Gospel Library settings, do you see your username (deforesttg)? Do you see any sync errors listed just under your username, or does it say "Last Sync:" with a date?
On the Church website, are you using the older content pages, or the newer content pages under Study.ChurchofJesusChrist.org?
If you're studying a conference talk, are you looking in the same content on both your phone and the Church website? Duplicate versions of the conference talks are published under General Conference, Ensign, and Liahona, so if you highlight in one of those places, it won't show up in the others.
Samuel Bradshaw • If you desire to serve God, you are called to the work.