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.
IBF Junior Lightweight Titleholder 28 4 0 (11)
Last Year s Ranking: Unranked
Status Report: Fana may be the best of a wretchedly poor division, but he s doing something right. You can t discount entirely a year in which he bested once beaten Jasper Seroka (KO 6) and then avenged a majority decision loss to nemesis Cassius Baloyi (W 12). And the margin of victory over Baloyi was a combined 27 points. He dominated the way a guy at the top of his division should.
Future: A fight against Scotland s Ricky Burns would be wonderful. More likely is an alphabet defense against Leva Kirakosian. He will have no part of Jorge Linares, whom the THE RING and IBF still rate at 130 pounds.