Would-be Ghana international Joe Dodoo scored in Rangers 5-0 win over Peterhead to reach the quarter-finals of the BetFred Cup.
With 25 minutes left on the clock Dodoo grabbed the last goal in the demolition exercise
Tavernier had motored to the by-line to send a fizzing ball across the face of goal and the Ghanaian applied the finishing touched inside the near post.
It was Dodoo's first goal at Ibrox since joining from Leicester City.