From the professional to the youth level, many catchers have difficulty receiving breaking balls. Problems begin with the catcher's experience handling pitches with a lot of movement. The earlier catchers are taught correct receiving techniques, the better they are controlling their glove and helping the pitcher win strikes. One of the problems I come across as a coach is catchers who want to "mirror" the break of the pitch. When the curveball pops up, so does their glove. And when the ball comes back down, their glove is late and the ball is carried out of the strike zone. As a catcher, we need to anticipate the break of the ball (curveball in this example, but can be applied to any pitch) and beat the ball to the spot. In the first video, the catcher mirrors the pitch and ends up taking the ball out of the zone. In the second video, he anticipates the break and beats the ball to the spot.
The ability of a catcher to "think" and "anticipate" a pitch can lead to better success handling different pitchers (and pitches). We know what pitch is being thrown by the pitcher and we must use this information to be ready. Get to know your pitcher by working with them in the bullpen and communicate the plan for each pitch. For example, a pitcher may be working on a curveball and we can take him through the following scenario: simulate different counts and different situations to determine if he can throw it for a strike and, when needed, tunnel it off a fastball to end up in the dirt as a swing-and-miss pitch. This can give you the information needed to know when you can throw it in the game.