I am having a BT dual mode EVK which can operate in BT 4.2 LE and Classic as well.
I want to check if this module would connect/ be compatible with my BT access point which is of BT 2.1+EDR.
Yes, assuming that you are after a normal connection then you dual mode Bluetooth 4.2 device should connect to a BT2.1 +EDR device. Most Android phones nowadays support dual mode Bluetooth 4.X (where X is 0, 1, or 2) and they can connect to BT 2.1 +EDR devices without an issue.