Lawmakers assure speedy passage not young run bill

It seems like you're referring to a news article or a statement made by lawmakers regarding the passage of a bill. Here's a possible paraphrase:

"Lawmakers have assured that the bill will be passed quickly, with no delay for young people."

In this context, "not young run" is likely a typo or a misquote, and the correct phrase is "no delay". The lawmakers are promising that the bill will be passed without any unnecessary delays, ensuring that it reaches its intended audience or is implemented as soon as possible.