D&D 5E - What removes exhaustion?

It is a bit silly that a lesser restoration that can cure blindness, deafness, and paralysation can't restore any exhaustion levels.

Also a short rest should recover a level, maybe limit it to once per day from short rests so you can't spam them.

I think I will do something like this.

Once per day you can recover a level of exhaustion after taking a short rest if you have adequate food and drink.

Lesser Restoration will recover 1 level of exhaustion, and Restoration will recover all of them.