The face ლಠ益ಠ)ლ is built from three scripts that have nothing to do with anger.
The parts of ლಠ益ಠ)ლ
ლU+10DAGeorgian letter las, an l sound. Here it is a raised hand with claws.
ಠU+0CA0Kannada letter ṭha from South India. It makes the wide, glaring eyes.
益U+76CAA Chinese character that also appears in Japanese. It means "benefit". Here it is a mouth full of gritted teeth.
益 has nothing angry about it. In Chinese and Japanese it means benefit or profit. Only its shape counts: the lines inside the box look like clenched teeth. You find the same mouth in (つ◉益◉)つ and (╬ಠ益ಠ). The ლ comes from the Georgian script, the alphabet of the country Georgia.
In (ง •̀_•́)ง the fists are ง, U+0E07, a letter of the Thai script. Its curl looks like an arm bent at the elbow with the fist raised. Flexing faces like ᕦ(ò_óˇ)ᕤ use ᕦ and ᕤ, two letters from the syllabics that Cree and Inuktitut speakers use in Canada.
Use eyes that stare or slant, like ಠ, ◣ ◢ or `´, and a tense mouth like 益, Д or ╭╮. Add raised hands or fists such as ლ or ง. The fastest way is to copy a face here and change one part.
What does ლಠ益ಠ)ლ mean?
It is rage with both hands up, as if someone is shouting "why?". The 益 is the gritted teeth and ಠ the glaring eyes.
What is the "fight me" text face?
(ง •̀_•́)ง. The Thai letter ง on each side looks like a raised fist, so the face looks ready to box. People use it in a playful way.
Can I use angry faces in Discord?
Yes, but Discord reads _ and * as formatting marks, so a face that uses two of them can turn into italics and lose characters. Turn on "Copy for Discord and Reddit" above the faces and the copy will keep every character.