中譯英?????

估計唔你電腦主動去搵個紀錄，而係呢句中文冇左 subject，係人搵唔到。但為表達 formal 說法，可以咁：
There is no record of your leaving work on June 4 in the computer system.　（否則可以：We cannot find the record of your leaving work on June 4 in the computer system.）
Please ask your supervisor for a proof for the time you left work in email.

英文不通順。

The computer finds you in 4/6 to finish work the record to ask you to ask for instructions you the manager to leave an electricity to post for me proved you several finish work

電腦找不到你在4/6放工紀錄

請你請示你的主管出個電郵給我以證明你幾點放工


The computer finds you in 4/6 to finish work the record

Asks you to ask for instructions you the manager to leave anelectricity to post for me proved you several finish work

there's no record of your dearture on 4/6.

Please have your supervisor to approve.

The computer cannot find your departure record on 4/6.

Please request your supervisor to send me an email to prove when did you leave.