。
Her abilities were recognized barely two months after she was hired.
Literal
She [topic-は] is-hired [after-てから] 2-months do [or-か] not-do [within-うちに] ability [object-を] was-recognized.
~か~ないうちに ('barely had X happened when Y') is a tight pattern marking near-instantaneous succession: literally 'while it's not yet certain whether X has happened.' The frame 二ヶ月するかしないうちに ('barely two months in') captures 'almost as soon as two months passed.' 雇われる is the passive of 雇う ('hire'). 認められる is the passive of 認める ('recognize, acknowledge'). Two passives in one sentence give it a slightly journalistic register, fitting for career-arc narrative.