Here is my first concept for a Batman Beyond cape. Yeah it's a little too close to the Nolan Batman cape, but I like the idea of a young new Batman using the remnants of Bruce's armory and making it his own. The cape is supposed to be Bruce's old one and with many years of wear and battle damage but dyed red to suit his own style. I can only imagine the exchange between the two characters... "Does it come in Red?"
In the newest Justice League Beyond comics, Terry is wearing a slightly older version of his suit. Has a cape too.