Hi of course you can get back trash folder deleted emails you just need to follow few simple steps
Open G-mail account
Click on the drop down arrow from the right side of search dialog box
Don't fill any asking question answer, just click on "search box" from the bottom left
Now all deleted emails will be exposed
>>Fill the following details and select which message you want to recover from the presented list
>>If you want to recover trash folder deleted email then write Trash and also fill following information carefully if you fill incorrect or false detail that is a possibility you can lost email.
>>Now write your problem/situation within 8000 words,
>>Now you need to wait for one week, if Google find out you are genuinely required your mails then they surely help you and restore your required deleted emails
I described brief information how to perform deleted email recovery from Gmail account. For getting complete information or steps I would recommend you please read this article carefully
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I hope this method resolve your problem, in case this procedure doesn't help you then you need to take help third party software.