"Two of the candidates are going to search for an agreement."
Translation:Deux des candidates vont chercher un accord.
Chercher does not need a preposition meaning "for" in French, and in fact it would sound very strange to French ears. This is one tricky aspect in learning French; our use of prepositions are not always the same. They don't correlate very well between English and French.
Je cherche mon vélo. = I'm looking for my bicycle.
Ils cherchent une solution. = They are looking for a solution.
Cherchons is the nous form whereas the third person plural is required to agree with the two candidates. Also you are missing aller for the "are going" bit. Assuming the correct form of chercher had been used you have written "the two candidates are looking for an agreement" which would be present rather than something that is going to happen at some point.