I'm taking a wild guess here but it's more than likely these Athens, Ohio boys and girl sound is the product of a couple "weird/cool" uncles that played them a bunch of records growing up. The older of the two uncles played them things from the early Stiff Records roster and telling them "None of these bands would've amounted to nothing if it wasn't for Nick Lowe AND THAT GOES DOUBLY FOR ELVIS COSTELLO!"
The younger uncle was all about 90's garage punk. He regaled them with stories about how many times he saw the New Bomb Turks and so on, but the band he drilled into their head was the Oblivians simply for the reason "Beneath the scum there's some classic pop song moves there. One day the rest of the world will figure that fact out."
It seemed to make an impression on the band especially in the both Nick Lowe and the Oblivians took standard "rock" foundations, in former's case country music and 60's radio pop and the latter with primal blues and teenage garage gunk, and they've manage to meld all of it into the tunes that rock all over both these releases. A snappy backbeat and sticky organ provide the foundation for the two guitars to switch between bashin', janglin' and throwin' out hooks that dig into your back and pull you up & move you around while Jack O'Yarberesque vox of the brothers Chaney sing/shout tales of young lust and all the things go with it.
The album, Liar, Liar, is jammed full of loud pop gems like the beach ball bouncy "Bad Lie" and "Losin'", bubblegum found in a box of dirt sounds of "Looking At You" and "Sarah" and the Modern Lovers tinged "Stick Around" and "I Wanna Know." The single on Kind Turkey is more of the same but a just little bit more scruffy with some soul music infection and some doo-wop nods thrown in for good measure.