Well the good thing is, it's mod related then, did you redownloaded the mods?
(If not, could possible be corrupt files)
Otherwise, possible mod conflict, or outdated mod(s).
And if you try to play without mods now, does it work , or will you need to reinstall again?
If vanilla game isn't working the moment you try it with mods, then would you care to explain how you install mods into your game? because if your game works without mods, after reinstalling gta5 , and you add mods, then you get the glitch,
and if now, you try to play gta5 without mods again, and it's still doing the glitch, then i think you change files in the wrong place or something, don't know......
If (with this glitch you had again) if vanilla game still works correctly,
I suggest you try to enable one mod at the time, to know which one is causing it.