With a JEE Main score of 44 and belonging to the ST category, you have a possibility of getting into certain engineering colleges, although your options might be somewhat limited compared to higher scores. It's important to remember that the actual cutoffs for 2025 will depend on various factors, including the number of applicants and the difficulty level of the exam. However, based on previous year trends, the cutoff percentile for the ST category has generally been lower than for other categories.

Looking at the expected and previous year's JEE Main cutoffs, a score of 44 might translate to a percentile that falls around the qualifying cutoff for the ST category to appear for JEE Advanced. However, for admissions into B.Tech programs at NITs, IIITs, and other well-regarded government and private engineering colleges, the admission cutoffs are usually higher than the qualifying cutoffs.

Nevertheless, there are still colleges where you might have a chance, especially considering your ST category. Some Government Funded Technical Institutes (GFTIs) and certain state-level engineering colleges might have lower closing ranks for reserved categories. Private engineering colleges might also have varying admission criteria, and some might offer seats to ST category students with scores around yours.

Keep in mind that the admission process involves counseling, where you will need to register and fill in your choices of colleges. It's advisable to have a list of potential colleges based on your research and then participate actively in the counseling process. Don't get discouraged, and explore all possible options. Good luck!