Find a subject matter or inspiration. Reverse poems typically utilize dichotomous ideas and complementary opposites like optimism and pessimism, good and evil, or light and dark. Although, like in the case of Helene Parry's poems about her cat, reverse poetry can be quite whimsical. Choose a passion of yours and write.
Write your poem entirely through. Don't worry about it making sense backwards at this point. Just get your thoughts down on paper. If you're just beginning to write reverse poems, start with shorter length poems, a stanza or two, before undertaking a more challenging project.
Review the poem to ensure it expresses your message. Exact wording is not important at this stage, as it will need to be tweaked later.
Copy the first poem backwards, either line by line or word by word, depending on your artistic preference. If you're writing a poem that simply reverses the message, you'll need to write a completely new poem.
Begin to edit both poems simultaneously. Do they make sense? Do the poems complement each other and properly convey your messages? Remember that in reverse poetry you're actually writing two separate poems. It will take some trial and error before you find the perfect word arrangement that works seamlessly.
Let the reverse poem sit for at least 24 hours and edit it again. Then have a classmate, teacher or friend read the poem. Even the best writers need good editors. Often, and especially in the case of poetry, what makes sense in the writer's head may not convey to the reader. Don't shy from constructive criticism; use it to write better poems.