Explained here the difference between Docy & Docly themes with a comparison table.

FeaturesDoclyDocy
RTL
Dark ModePartially Supported on Doc PagesFully Dark Mode Supported
wooCommerce Integration
Ajax SearchShow DocsShow Docs, Forum & Blog
Search BannerDefault Banner OnlyLight & Aesthetic Search Banner
OnePage Documentation
Homepage Demos 3 6
Forums Integration
Envato API Integration to Forum
Automatic Theme Update
Related Docs
Recently Viewed Docs
Left Sidebar Show/Hide Toggle
TOC Blog Post Layout
Software Changelogs
Video Playlist
Unlimited Documentation & Forums
Best Answer Badge for Forum Topic
Reading Progress Bar
Ajax Documentation Loading 
Private Reply for Forum Topic
Base Price$59$69