I read your linked sample to try to understand what you mean by lack of flow. You've got chunks of one character's backstory, then another's. It's mostly in tell, so, it reads like "Here's the backstory on Jim. Here's the backstory on John. Here's the backstory on Joe." These chunks of unrelated information are what makes it seem "blocky."
Try this instead: Create an integrated, active scene that shows the reader who the characters are. Give them a problem they must work through together, and have their interactions and reactions reveal who they are. Say for example, heavy rains flooded their office last night. How does each react? Is Jim overjoyed because it means he can go home and play videogames? Does Joe throw a tantrum because a crucial project was ruined? Does John chuck his shoes, roll up his pant legs and wade in clean up the mess? That's characterization.
Have you ever seen The Big Lebowski? That movie is a study in great characterization. Take Walter Sobchak. Nobody stops the story to say "Walter Sobchak never got over his divorce. He was a converted Jew and a Vietnam vet carrying a lot of unresolved rage and he had a short temper." No, because that would be boring. Instead we have Walter showing up at the bowling alley with his ex-wife's delicate show dog – he's minding it for her while she's away on vacation with her new lover. Walter pulls a gun on a competitor he thinks is cheating and says, "This is not 'Nam, Smokey. There are rules." When his team is scheduled to bowl on a Saturday, he has a fit because he doesn't roll on the Shabbos.
That's the difference between show and tell. Characterization and storytelling are best achieved in active, flowing scenes that show rather than dossier format chunks of backstory (tell). Tell has its place, but if too much story is in dull tell it falls flat. There's no "flow" because there's no scene, no tension, nothing to be resolved, no characterization taking place.