The heavily indebted state has been without an effective government since Saad al-Hariri quit as premier in October
Ghosn -- who holds Lebanese, French and Brazilian citizenship -- jumped bail in Tokyo in mysterious circumstances and arrived in his native Lebanon early on Monday
The former industry heavyweight also has French and Brazilian citizenship.
The 65-year-old faced charges of financial misconduct and raiding corporate resources for personal gain, allegations he denies.
Hezbollah chief Hassan Nasrallah warned that the group's ministers would not allow poorer Lebanese to bear the brunt of an economic overhaul through higher taxes that would cause a social explosion
Guterres pointed to the sudden resignation of Lebanon's Prime Minister Saad Hariri while he was in Saudi Arabia, which was later rescinded
Lebanon is sharply divided along a camp loyal to Saudi Arabia, headed by the Sunni Muslim Hariri, and a camp loyal to Iran represented by Hezbollah
The law was ratified by the full parliament
Al-Qaa is one of several border posts separating Lebanon and war-torn Syria