my (adjective) posting (noun: gerund)
me (object pronoun) posting (present participle)
Gerunds preceded by a genitive
In traditional English grammar, a noun or pronoun preceding a gerund must be genitive (possessive).
Ex: We enjoyed
their singing.

Ex: We enjoyed
them singing.
It is increasingly common to see the objective used in place of the possessive:
Ex: I do not see
it making any difference.
Ex: I do not see
its making any difference.
Source
Gerund - Wikipedia, the free encyclopedia
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A gerund can be used in combination with either an object or a genitive (possessive). The latter is considered more formal, and the only option when an adjective precedes the gerund, but is more common when the second verb applies to a person rather than an object.
- We enjoyed them (object pronoun) / their (genitive) singing.
- I greatly appreciate you / your doing this for me.
- I greatly appreciate your kind doing this for me. (an object pronoun is not possible here)
Source
Gerund - Verb patterns with the gerund