Backdrop CMS does not support the default front page setting to be multilingual (one node for each language). Drupal 7 core does not either, but the contrib module i18n does. This feature would be helpful for Backdrop adoption in multilingual environments
However, there's a small workaround, using the redirect function in node settings. Just add a redirection to the default front page, pointing to the intended 2nd language front page node, and make this redirection language aware (2nd language).
Recent comments
That would actually be a nice usability improvement. A lot of people already build search pages with Views, so having an easier way to convert the default search results into a View would make...
[UX] Convert search to a view.
Try using caching in the View settings, set to 24 hours. This should work for anonymous site visitors. I haven't tested this in practice, so this is just a guess.
View to show a different node each day
Have you already played with Views random seed? I belief, what you try to achieve would work with that module. Show only one node and set the sort order to "Global: Random seed" with "...
View to show a different node each day