The Red Devils are the most successful side in FA Cup history - taking the trophy on 11 occasions - but their last success came back in 2004.
While they have kept a steady stream of silverware coming into Old Trafford over the past decade, they will consider their failure to land English football's grandest cup prize to be an issue in need of addressing.
Rafael hopes their barren run - which has seen them go six years without gracing a final - will come to an end in 2014, with the reigning Premier League champions determined to challenge at home and abroad next season.
The Brazilian full-back told Inside United: "Once we arrive back here for pre-season, the focus will be on winning the league again and also the Champions League, FA Cup and Capital One Cup.
"It's been a long time since we won the FA Cup so we should be really focused to win this trophy again."
Rafael believes United should be well set next term, with a youthful squad now boasting plenty of experience.
He added: "If you see all the players now, we are starting to get mature,
"We were young - me, (Phil) Jones, Chris Smalling, (David) De Gea, (Danny) Welbeck - we were all young. Now we are getting towards the age of 24 or 25 and that's a good age. We need to improve every day."