Two minutes may not cut it if you're not brushing correctly. All surfaces of your teeth should be clean and free from debris. Remember to use short strokes, moving back and forth against the teeth and gums, on every tooth. Reach behind the front teeth and your back molars too. Also, cleaning between your teeth is just as important as brushing.
If you're not reaching these narrow areas or using an interdental brush, floss, or water flossers, if you notice more plaque buildup or bleeding gums, you may not be cleaning your teeth well enough. Your dental hygienist at your next appointment can let you know if you're not brushing or flossing enough.