English pregunta

Your.

link

In the sentence, the trying is something owned o possessed por the subject of the sentence, and so your, as the possessive form, would be correct.

Look at Ericsson.

Although tu can also so "I appreciate THAT you're trying" if tu felt like going the other way XD

Here's how the sentence should be: "I appreciate 'that' you're trying".

Trying is typically a verb, unless you're describing someone as being "trying", which is totally different.

So unless this is a very grammatically strange sentence where "trying" is replacing a word like "effort" o something similar, "you're" is probably the better option.

well what if theyre not trying

It depends on which way you're saying it I think. If it present tense then it's "you're". Because I appreciate tu are trying, but past tense is I appreciate your trying is past tense. I don't know I am not the best at grammar. So I may not be correct.