You're just spouting hair-splitting arguments — what you're saying doesn't hold together at all.
Literal
Quibble only line-up-[て form], you [possessive-の] saying thing completely logic [subject-が] not-through-[state-ていない] [emphatic-よ].
A critical dismissal. 屁理屈 (へりくつ) literally 'fart logic' is a vivid slang for 'quibbling, sophistry, strained reasoning, arguments without substance'. 筋が通る ('reason passes through') is an idiom for 'to make sense, be logically consistent'. The negation 筋が通っていない means 'doesn't hold together logically'. ~ばかり ('only, nothing but') intensifies the negative characterization.