How to make vent less cold

We have a vent in our spare bedroom through which cold air is coming in. Recently changed it to an adjustable one but somehow it's even colder!

Obviously, we want the option to ventilate but it's so cold! Is there some sort of breathable material we can put inside? Previous tenants used a piece of cardboard, not sure if that's suitable though.

We have a vent in our spare bedroom through which cold air is coming in. Recently changed it to an adjustable one but somehow it's even colder!

Obviously, we want the option to ventilate but it's so cold! Is there some sort of breathable material we can put inside? Previous tenants used a piece of cardboard, not sure if that's suitable though.