Source: Tafsir al-Ahlam al-Kabir (Ibn Sirin)
The bag in a dream is a man's secret and his trust. Whatever good or bad is in it reflects on his secret. A heavy bag is worries and responsibilities. A light one is comfort and removal of worry.
Source: Ta'tir al-Anam fi Ta'bir al-Manam (Al-Nabulsi)
The bag indicates a wife or a servant. Losing it indicates separation or loss. Finding it indicates receiving good.
Source: Al-Isharat fi Ilm al-Ibarat (Ibn Shahin)
The bag is interpreted as travel. Whoever sees himself carry a bag is preparing for travel.