The 'abomination of desolation' in Daniel 12:11 however does not carry the definite article and should thus be rendered 'AN abomination of desolation'.
Elliot argues that the lack of the definite article excludes 12:11 from being a direct reference to the 'abomination of desolation' of 11:31:
Hebrew Interlinear of Daniel 11:31 Showing the use of the Definite Article -
THE Abomination of Desolation
Hebrew Interlinear of Daniel 12:11 Showing the Absence of the Definite Article -
AN Abomination of Desolation
6) Jesus' discourse in Matthew 24 indicates that following the 'abomination of desolation' that there would be 'great tribulation' (Matt 24:21). This tribulation was to last until immediately preceding his second advent (Matt 24:29).
Then, as to the epoch from which the periods are to be reckoned, (an epoch marked by the setting up of some desolating abomination,) there is one thing very important to note, though hitherto, I believe, overlooked by expositors, - viz. that the definite article is wanting before the word abomination in verse (12

11“And from the time that the daily sacrifice shall be taken away, and the abomination that maketh desolate set up, there shall be a thousand two hundred and ninety days.”, so that the correct rendering of the clause would be, “From the time that the daily sacrifice shall be taken away, and an abomination that makes desolate set up, there shall be 1290 days. By this not only is the desolating abomination of xi. 31, “And arms shall stand on his part, and they shall pollute the sanctuary of strength, and shall take away the daily sacrifice, and they shall place the abomination that maketh desolate”..........
Bookmarks