Current problem
Problem case:
You have an emoji named ":blue_cry:", custom to a server.
If you were to try quickly using this emoji, e.g. typing ":cry", it would rather result in the default cry emoji.
Proposed change
Sort emojis when typed out like this, to;
favorites -> custom to current server -> custom to external servers -> default.
Now people who want to use default emojis over server specific ones can simply favorite the default ones, and they'd show up first, and people who want the reverse can favorite server emojis and have them show up first.
In addition to this, it could also be good to have recency bias included, and/or a "most used" style sorting.