Treated sinus infection with liquid augmentin (amoxicillin and clavulanate), (amoxicillin and clavulanate) didnt work, took augmentin (amoxicillin and clavulanate) pills, cold symptoms went away, swelling in face got worse. Should I worry?

Be concerned. You should see your doctor to get this checked out. You may have a sinus infection and may need further evaluation. The liquid vs the pills should have no difference if taken as prescribed. If you have the swelling you must be seen to make sure there is resolution or that something else is not ongoing. Best wishes.