Is the word unidos the same in Brazilian and European Portuguese?

Yes

The word "unidos" is identical in meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazil, the vowels are generally more open, and the "s" at the end of the word is pronounced as a soft "s" (as in "sun") in most regions, or a "sh" sound in Rio de Janeiro. In Portugal, the vowels are much more closed (and sometimes nearly silent), and the "s" at the end is almost always pronounced as a "sh" sound ([ʃ]).

Brazilian Portuguese Examples

1. Nós somos uma família muito unidos. (We are a very united family.)
2. Os países estão unidos pela língua. (The countries are united by the language.)
3. Eles ficaram unidos durante toda a crise. (They stayed united throughout the entire crisis.)
4. A gente se manteve unido no projeto. (We kept ourselves united in the project.)
5. Os alunos estão todos unidos no protesto. (The students are all united in the protest.)

Portuguese Examples

1. Nós somos muito unidos. (We are very united.)
2. Os países encontram-se unidos pela língua. (The countries find themselves united by the language.)
3. Eles mantiveram-se unidos durante a crise. (They remained united during the crisis.)
4. Ficámos todos unidos para resolver o problema. (We all stayed united to solve the problem.)
5. Os alunos estão unidos na manifestação. (The students are united in the demonstration.)