Which country should I opt to pursue MBBS abroad, Bangladesh or Philippines?

It's up to you. Philippines is more popular though but you must decide keeping the budget, proximity to India, language, university reputation etc. Hope it helps.

Better not to choose either of these countries or even any other countries like China, Kazakhstan, Ukraine, Europe. As you will face a tough test from MCI. Unless you will not clear the test you won't practice in India. So even after spending lit of money & studying the course for 6 years, you have

Armenia China Russia Mauritius

u can also opt for Russian universities.