A middle aged Dick Grayson returned to reclaim the Robin mantle, calling himself Red Robin. 

A dimension hopping Jason Todd (Robin #2) donned the costume in the Bat Bunker (Earth 51’s version of the Batcave).  

Tim, discouraged by this and believing Bruce Wayne to still be alive (he was right!) takes the mantle of Red Robin and leaves Gotham to start his search for Bruce Wayne.