Um this might not be what you're looking for but it is similar, instead of both main characters being awkward, its just the seme/top that's awkward in this manwha although in some moments it is awkward between both characters. But I do feel there is a lot of awkwardness between the side couple though.
http://www.mangago.zone/read-manga/mr_100_perfect/
"Suk-yun is Mr. Perfect from head to toe with crisp creases in his suit, a handsome and fit figure... and an expensive wristwatch dominating his timetable. Woo-in fell for him HARD, because he’s just so... perfect. But over time, the beep of the wristwatch had more power over Suk-yun than his feelings for Woo-in, so he left. To get over the breakup, Woo-in starts working for a cleaning company and just who is his first customer? The crazy messy junk-filled home of Suk-yun, Mr. (Not 100%) Perfect."
Anyone have any BL recs with very awkward characters? They seem like they have horrible chemistry. But not in a way that they would fight a lot, but in a way where they would sit in a room and tries to carry on a conversation without knowing anything to talk about because they have very little in common. Despite that, they still have sexual tensions. The closest one i found is Kikoenai Koe (prequel) and Mienai Hoshi (sequel). But its still isnt what i really want because they actually have nice chemistry and they can keep conversations going. But the sexual tension on that BL is on point! So i just want to read something like that but with extra awkward characters. Anyone know??