Is using LSTM correct for this? I wish to predict whether the difference in Value and Growth returns is positive or negative for the next month.

To do this, I have collected data of a few features(to be specific, Macroeconomic Indicators), and the difference in Value and Growth returns for about 200 previous months. I wish the prediction to depend on the order of the previous months. Decision trees and others don't care about the order so I looked upon the net to find about LSTM. Is it correct to use them here?
About what I have understood, you need to use time series forecasting algorithms. As your data is time series, you can look at these algorithms based on Deep Learning. You can also use classical algorithms for time series forecasting. You can use LSTM also which is good, details are given in link.
Look here