So what's "crossrange maneuvering"?
Imagine a coordinate system, that you put on the surface of Earth, directly below a point in space called "Entry Interface" or EI. Three arrows, all perpendicular to each other.
The first arrow is the downrange, it points from EI in the direction of your orbit ground track, flat on the surface of Earth. The next arrow is crossrange: It is 90° away from the downrange and still on the surface. The third is altitude, simply as that.
So, cross range is in that coordinate system, how far you are lateral to your reference ground track.
Crossrange maneuvering describes the ability of a spacecraft to leave the downrange direction and travel crossrange during reentry. This is not unlimited, and defined by lift and drag of the spacecraft. capsules have a pretty low cross range generally, winged vehicles a bigger one. Also you can't fly in any direction because of thermal and dynamic pressure limitations (= dropping too fast into the denser atmosphere layers)
If you have "1500 km crossrange" available by your spacecraft, this means that you could land on a base, that is 1500 km away from your orbit ground track.
downrange and crossrange are also used for ascent of a spacecraft, and work in the same way. Downrange is not the orbit ground track then, but rather pointing on the great circle defined by your launch position and launch azimuth, the origin of the coordinate system is the launch pad.