* "Basing off of" is an informal and grammatically incorrect phrase. The correct preposition to use in this context is "based on".
* "Poem" needs to be more specific. You need to specify which poem you are referring to.
Here are some corrected versions of the sentence:
* "We made it our own, based on the poem."
* "We made it our own, basing it on the poem by [poet's name]."
* "We made it our own, taking inspiration from the poem."