I heard that the gallo crew moved from colombo to a different family.
Is it true ?

In the sopranos i know that gigi become captain of the altieri crew (i think)

Newark, New Jersey family did after the Commission disbanded them. They all did not go into one family, they went to the five New York City families, Elizabeth, New Jersey, and Philadelphia, Pennsylvania families. That is why there are so many LCN still rubbing shoulders in Newark to this day. Also guys would transfer to the California families. Charles Battaglia was made into Los Angeles family, transfered to the Bonanno family. There are many cases of it happening even in New York, but a whole crew, I can only think Newark, NJ, Milwaukee, WI, and Rockford, IL.

Any instances of A capo and his entire crew switching families? None to my knowledge. You had many associates that would later become soldiers that switched families over beefs, you had made guys in the higher levels like Nicky Bianco going back and forth between New England and the Colombo Family and back to New England. You had Johnny Roselli who was a high up Chicago guy who went over to the LA Family for a time and then back to Chicago before he was whacked. To my knowledge no Capo switched himself and his entire crew to another family. Closest to that happening was associate Kid Blast Gallo and Punchy Illiano took portions of their crew to the Genovese Family and where made in the late 70s after that. They were unmade in any family, their crew were at odds with other members of their crew which one Mooney Cutrone was made in the Colombo Family. They had their own little Civil War, Kid Blast and Punchy went with the Genovese, Mooney and the other guys went with the Colombos. After this Mooney still tried to take out the Punchy/Kid Blast faction, Mooney was in the wrong, was killed along with another of his faction. Kid Blast and Punchy were made soldiers in the Genovese, had their crew which was under their protection and the Genovese banner like Preston Geritano. other members of their crew like associate Bobby Boriello chose to go with another family (Gambino) during this unrest within the original Gallo crew. Gallo and Illiano were eventually made Co-Capos of this crew.

How they make it officel ? Like the bosses needs to agree for it right ?

Bosses of the two families have to agree to those transfers. In the case of Newark family. Their boss at the time Gaspare Amico was feuding with Joe Profaci from 1936-1937. After a failed attempt on Amico's life in 1937, he fled the country leaving the family without an official boss. The commission disbanded that family and the top guy slated to take over Newark family, Stefano Badami transferred to Elizabeth family. Newark family members went with those families, with a few heading to families west of the Mississippi river.

Newark has been defunct since the late 1930's. The 5 New York City families, Elizabeth, and Philadelphia all have crews in Newark that can trace their origins back to the Amico Family of the 1920's and 30's. That was a special case, which is hard to peel back. I believe Bonanno and Luciano were involved besides just voting on it.