With the Women's Team also winning the FA Cup, United have enjoyed a good few weeks outside of the men's first team.
"I'm very proud," stated the 37-year-old about the youth side.
"If you look at the season as a whole, it has genuinely has been an amazing achievement for everyone involved."
"Whether you are a coach, a member of staff, all the support team around the squad, all of the players, it has just been one of those memorable years.
"It's a big credit to everybody and a big well done."
"That's essentially what the lads and the players are aspiring to do," added Lawrence on the youngsters gaining experience in pivotal moments.
"When you play in these types of games and you come to Stamford Bridge, to experience that type of game whether you win, lose or draw, what you want the players to do is to get a feel and a real flavor for it.
"They should be wanting more and they should be wanting to play at this level in these kind of arenas.
"The more experiences we can give them in these high-level games, the better they are going to be for it. So they should definitely be coming away from this wanting to achieve more."