>>2515566What machine are you on? (Axys Pro, as pictured?) 600? 800? Short-lug short-track (121, 136) or mountain track (155, 163, 2"+lug)?
What snow conditions? (Fresh on a decent base, or sugar/facets to ground?)
The throttle is your friend. It will get you out of more situations than the brake will. However, use it judiciously... when you feel yourself starting to get stuck, if you don't do something to deal with that stuck, the throttle's only going to trench you in deeper. It's a fine line that comes with experience and a lot of stucks.
Rolling/sidehilling to the left is usually easier because of clutch rotation. Right's a bit more challenging for most riders. Countersteering is a thing you'll want to learn about, similar to handling a motorcycle but far more exaggerated. I think of it as "steering with the back half of the ski", basically you turn the bars the opposite way you want to go.
Get some seat time. Usually takes new riders a year or two to figure things out and get comfortable handling the machine.