I think that your issue is moreso that the site doesn't have consistent prioritization of certain types of content.
This presents an interesting issue regarding prioritization and expectations: on the Desktop view, both a central content column and a side bar (say, off to the right) are visible above the fold; the central column has a higher prioritization than the side bar. One might think, then, that for mobile views the side bar should be put beneath the central column, as it has lower a prioritization. But if you do that, you push content that is above the fold on Desktop view to below the fold on mobile, which goes against expectations that you may have set in the user's mind when they use Desktop view. Might you truncate the content column (assuming it's an article) and provide a Read More button to fit in some contents of the side bar above the fold?
This presents an interesting issue regarding prioritization and expectations: on the Desktop view, both a central content column and a side bar (say, off to the right) are visible above the fold; the central column has a higher prioritization than the side bar. One might think, then, that for mobile views the side bar should be put beneath the central column, as it has lower a prioritization. But if you do that, you push content that is above the fold on Desktop view to below the fold on mobile, which goes against expectations that you may have set in the user's mind when they use Desktop view. Might you truncate the content column (assuming it's an article) and provide a Read More button to fit in some contents of the side bar above the fold?