I loved in the Find-As-You-Type feature for regular locations.
BUT I can not find any way to open neither Favorites nor Recent lists in the File Display area, so it's impossible to use Find-As-You-Type feature for these lists.
Is there any way to solve my problem?
At the moment there is no way to filter the lists.
The recent list usually only contains around 10 items, so filtering it doesn't seem very useful.
For favorites, you can organise them into a tree, creating folders below the top level, to make finding them easier.
(If you mean the Windows recent and favorites folders, rather than the Opus ones, those can be filtered by going to /recent and /favorites.)