When riding a horse and dropping down onto a crop the player is removed from the horse and placed beside it. Player then is unable to return to riding the horse and horse is seemingly stuck on that block. Exiting the world and returning to it allows the horse to return to normal and player can get back to riding. It does not appear to happen when riding backwards and falling onto crop blocks. I have also had a horse completely vanish from a world after this happening. I also play on bedrock version and have not experienced any similar issues on there.
Linked issues
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Sounds like MC-191714
Avoma
This report actually does indeed appear to be a duplicate of MC-191714, which hasn't yet been resolved. If you have any additional information to provide regarding this issue, feel free to comment on the parent ticket. If you feel that this issue is affecting you, feel free to vote for the duplicated ticket, to give Mojang a basic idea of how many people are impacted by the problem. Just to further inform you, this will not determine how quickly the bug gets handled or fixed.
You have to have a saddle so you won't fall off the horse. If you are not using a saddle in other words.