Make One's Mark Meaning

(idiomatic) To make, or leave, a lasting impression, especially to achieve apparent success.

Example: 2011 October 29, Phil McNulty, “Chelsea 3 - 5 Arsenal”[1], BBC Sport:
  Terry, almost inevitably, made his mark on the game when he headed Chelsea back in front seconds before the interval, sending a scrambled finish past Szczesny from Lampard's corner.
To sign (a document) by making a cross or other mark.