This is actually true, dessication with glyphosate seems to be an established practice. From the Glyphosate Task Force:
In the joint dossier submitted by the Glyphosate Task Force (GTF) for the renewal of approval of glyphosate in the EU, pre-harvest application of glyphosate (both for weed control and harvest aid) was included amongst the representative uses of the herbicide for which the GTF wishes to obtain renewed approval. A full risk assessment submitted with the dossier shows no concerns for consumers (dietary), operators or the environment for pre-harvest uses.
The part about farm equipment is true as well:
The presence of green crop materials can make harvesting difficult by putting an extra strain on farm machinery, resulting in increased fuel and labour costs. In addition, high moisture content in grains can lead to problems when storing the harvest including mould growth and condensation.
Austria has banned the practice:
Under the provisions of its national plant protection legislation, the Austrian Parliament voted on July 5th 2013 to ban the use of glyphosate-based herbicides as a pre-harvest maturation tool for crops used in food and feed.
The Glyphosate Task Force is obviously not an impartial group, it is composed of companies that produce or sell glyphosate like Monsanto.
They cite a report by EFSA, the European Food Safety Authority that shows that the maximum residue levels for glyphosate were not exceeded.
The practice of applying glyphosate before the harvest exists, but that does not necessarily mean that the conclusions from that in the linked article are true.