An illocutionary connective is a connective that is used to join two or more illocutionary acts in one utterance.
(English)
I will go to his house, but will he be there?
The word but joins two illocutionary acts: the assertion that the speaker will go to someone’s house and the question whether the person concerned will be there.
Searle, John, and Daniel Vanderveken. 1985.Foundations of illocutionary logic. Cambridge, England: Cambridge University.