It's hard for me to say what exactly LG Backup backs up. According to LG's support site, it backs up the homescreen (presumably how your homescreens are set up), device settings, apps and contacts (
https://www.lg.com/us/support/produc...4708841-others). However, it doesn't specify if it backs up app
data or only the list of apps that are installed (to make it easier to reinstall all of your apps. So it might not have the ability to back up the Mobile Bookmarks you created on Chrome.
In general, when you create bookmarks in Chrome on your phone, I recommend making sure the bookmark is created in (or moved to) the Bookmarks Bar or Other Bookmarks, because those bookmark folders get synced to your Google account (and therefore appear in Chrome anywhere you use it, as long as you're logged in and synced with your Google account).