These words are the same. Both of them refer to the collection of suitcases/bags you take with you while traveling.

Both of them are uncountable nouns, so don't use "a" or make them plural:

I have three luggages.

I have three pieces of luggage.

I accidentally left a baggage at the hotel.

I accidentally left a suitcase/bag at the hotel.

I accidentally left a piece of luggage/baggage at the hotel.

The place in the airport where you pick up your bags after arriving at your destination is called the baggage claim. But when the airline loses your bag, we usually say they lost your luggage (not baggage).

The word baggage has an additional meaning: emotional or psychological effects from the past that negatively affect your present situation. For example, if you had a past romantic relationship with someone who lied frequently and now you have problems trusting anybody, you have "baggage" from that relationship.

Guru Nanak Dev

Background

His father was Kalayan Das Mehta, also known as Mehta Kalu, and his mother was Mata Tripta ji. They belonged to the Vedic Kshatri (Khatri) caste. Guru ji had an older sister called Bebey Nanki, who was the first to recognise Nanak as an enlightened Soul. Guru Nanak from an early age evidenced a questioning and enquiring mind. He soon mastered the Vedas and Sanskrit and was enrolled into a madrassa to study Persian and Arabic. Picking up both languages quickly, he surprised his teacher by composing an acrostic on the Persian language. When it was time for Nanak to be invested with the twice born thread the sacred thread, called the Janeu, he refused to take part in the ritual. When the priest continued to insist that the young Nanak done the string he went into a trance and sang.