1. Listen again and check on T if the sentences match with the dialogue. Check on F if they don't match.
2. Listen again and check T if the sentences match the dialogue. Check F if they don't match.
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Which one is correct? Do we have to use 'on' or 'with'?
2. is better. The word on is not necessary.
Both sentences are grammatically correct, but they have slightly different meanings.
In the first sentence, "Listen again and check on T if the sentences match with the dialogue", the word "on" is used to indicate that you are checking the sentences against T (which could be a transcription or a written version of the dialogue). It implies physically looking at or comparing the sentences and T.
In the second sentence, "Listen again and check T if the sentences match the dialogue", the word "with" is not necessary. It simply means that you are listening again and comparing the sentences directly to the dialogue, without any additional indication of physically checking or comparing.
Ultimately, both sentences convey a similar idea, but the first one offers a little more clarity on the action that needs to be taken in terms of physically checking the sentences against T.