Taking away the offering represents preventing people from offering it. AT: "They will stop the priests from presenting the regular burnt offering" (See: [[rc://en/ta/man/translate/figs-metaphor]])
This refers to an idol that will make the temple desolate, that is, that will cause God to leave his temple. AT: "the disgusting idol that will cause God to abandon the temple" or "the disgusting thing that will make the temple unclean" (See: [[rc://en/ta/man/translate/figs-idiom]])