To request a game go to www.speedrun.com/requestgame Make sure you read all the rules carefully.

If it is accepted you can add different categories and subcategories according to the games story and structure. For example, if the game is heavily based around glitches you could have a category with each story mode then a subcategory for glitched and glitchless. If you want to add individual levels you can do that too. https://www.speedrun.com/knowledgebase/editing-a-leaderboard Is a good reference to use if you get stuck.

how do i request a game with many story modes?