30 moves, unwrap 40 blue, 40 red and 40 yellow gifts. Now as soon as you start unwrapping, the Golden Moving Blockers from the top will make it through into the main grid. So perhaps try and focus on horizontal matches in the beginning until you clear some of the blockers. However, they are not the only problem as Time Bombs will begin spawning in the second turn. But when did that ever stop us before? Just use them towards the objective as each Time Bomb with the appropriate color will count towards the mission.
Also you can use the shape of the grid and the teleporters to calculate the color of incoming gifts, causing chain reactions with not-so-accidental matches.