Congrats on cutting out sugar - that's a big first step!
Are you following a specific low carb plan? If so, which one? (If not, are you open to some suggestions?)
Are you tracking your food somewhere (online or paper) and can you list a typical day's menu?
Most people do lose weight quickly for a week or two if they go very low carb - but that means cutting carbs down very low, much lower than just cutting out all sugar (although the sugar step is a good first move!). After the first couple of weeks, weight loss on low carb is generally similar to other weight loss plans, at least in my experience.
Happy to help you figure this out, but need more info from you!