Antibiotics that might be prescribed for an acute sinus infection include: 1  Amoxicillin (Amoxil 2  ®). Amoxicillin and clavulanate potassium (Augmentin 3  ®). Erythromycin. 4  Sulfamethoxazole/trimethoprim (Bactrim ® , Bactrim ® DS, Septra ® , Septra ® DS, Sulfatrim ®).