This kinda sounds like a straight out lie.
There are other languages that did this long before rust, chief among them being C++.
You could say Rust discourages manual memory management more than languages like C++. You could also say Rust gives you easier to use tools for automatic mm than C++. And I would partially agree on both of those points.
But don’t go around claiming Rust invented or bought to the mainstream something that people were using since the 90s.
The borrow checking is another issue, and that’s where Rust’s memory management shines, but that’s a feature that neither manual, gc nor automatic mm language give you.