First off, definitions.
A shovel is a very specific opener. It almost always involves lowering your shoulders on turn one, and raising them on turn two, with the goal of getting really good grabs in really good areas forcing you out of the arena. The old school shovel of just like contract pecs lower shoulders has seen a lot of evolutions where you see people contracting knees and jumping up, etc. etc.
What you're describing is a lift. A lift is simply one the opponent has exposed a weakness in your footing and looks to win the game by moving you out of the dojo. Because you're mentioning it, it sounds like you're allowing yourself to be lifted to begin with. You should be striving to be underneath your opponent, lower to the ground, using the forces of the ground to direct where you want your opponent to go. If you're letting yourself get off the ground, maybe you're doing some goofy kick with only one foot planted or what have you, you'll lose contact with the ground, making your opponent continuously have an advantage by virtue of more easily creating and changing momentum with his contact against the ground.
Obviously sometimes you'll be lifted. Either by your mistake or your opponent doing something smart. There's a hundred million case specific answers on how to get back to the ground. And it's all super specific to the situation at hand. Best advice is learn how to pull yourself close to the opponent.