I've been cast as Second Lieutenant Ralph Clark in the play Our Country's Good, a play about the founding of Australia, which frequently uses excerpts from a play of the period, The Recruiting Officer. There is mention men kissing in the military in this play-within-the-play and my own research has confirmed that this did happen. However, I'm meant to perform this type of kiss on another actor and have been unable to find any information on the procedure of it, through research of contemporary etiquette, various searches of the terms in question on Google and asking my dramaturge for any information they've been able to find. I've found plenty of helpful information for developing the character but I'm really struggling with this bit of direction: is there any help you can offer me, historians of reddit?
Unfortunately I don't have time right now to give it a full read, so I don't know if it has the exact answer you are looking for, but "Breaking the Code: Toward a Reception Theory of Theatrical Cross-Dressing in Eighteenth-Century London" by Beth H. Friedman-Romell (in Theatre Journal Vol. 47, No. 4, Eighteenth-Century Representations (Dec., 1995), pp. 459-479) references The Recruiting Officer significantly and has a lot to say about the play itself and gender roles at the time.
If you can't find any way to access that publication, send me a message and I'll see what I can do. Or perhaps someone with more time than me can look it up and provide a full answer.
Sorry I'm not more help at the moment, I only had a few minutes free to look it up.