Cook pasta in boiling water until al dente. Drain and set aside.
Rinse lamb's quarters leaves. Shake off excess water, but do not dry completely. Chop roughly and set aside.
Heat oil in large skillet over medium heat. Add garlic and cook just until fragrant, about 30 seconds (do not let it brown). Stir in sundried tomatoes and cook about a minute longer.
Reduce heat to medium-low. Add lamb's quarters and wood sorrel. Toss to combine. Add salt, shallot pepper, savory, basil, and 2-3 tbsp water. Cook, stirring frequently, until greens are fully cooked and water is absorbed. Remove from heat.
Toss lamb's quarters mixture with cooked pasta until thoroughly mixed. Serve garnished with grated Parmesan and additional fresh wood sorrel, if desired.