Till they acknowledge their offence

“I will go and return to my place, till they acknowledge their offense, and seek my face: in their affliction they will seek me early.” - Hosea 5v15

God will not totally forsake His people. In the case of Israel God would not cast them off, but He would remove His blessings from them as long as they remained in their sin. God is so holy that He cannot tolerate sin in any sense. In this case Israel remained God’s people, but He withdrew His blessing until they turned back to Him and repented. He allowed them to be afflicted to bring about their repentance.

Once we get saved we belong to Him, we are His children. He is not going to cast us of, but if we continue in out sin we cannot expect God to pour out His blessings. God does not cast us off either, but we may expect Him to withhold His blessings until we forsake our sin and turn to Him.