Multicut is a good choice.
This can sound a little strange, if you aren't familiar with the agricultural uses of the word cut, which extend beyond the idea of slicing, and directly into the concept of harvest. For farmers, "cut" can be noun synonymous with harvest. Example:
Single-cut [clover] does not flower in the seeding year, or after the first cut in succeeding years.
http://www.omafra.gov.on.ca/english/crops/facts/info_redclover_haylage.htm
A farmer's first cut is the first harvest of hay in a given year.
Adjectives are commonly formed with an ordinal number and cut. (e.g. first cut clover, second cut alfalfa, third cut timothy)
Timothy, alfalfa, and clover are all crops that are at least double-cut crops.
You can refer to any double or triple-cut crops as multicut crops. For example:
Improved, multicut oats are very popular in urban irrigated areas, and have almost replaced poor quality wheat and rice straw as the basis of winter feed.
Source: The United Nations
Or
In Pakistan a little information is available on the interactive effects of nitrogen and sowing methods on the quality and fodder yield of multicut sorghum.
Source: PERFORMANCE OF MULTICUT FORAGE SORGHUM UNDER VARIOUS SOWING
METHODS AND NITROGEN APPLICATION RATES
Most of these terms are not in general parlance - but then again, many city dwellers don't know the difference between hay and straw, and have no idea that multiple cuts are possible. If the translation is being done for people in or familiar with the agriculture industry, multicut would be the expected term.
The change I would recommend to that translator is the choice of the word "plant." In agriculture, plants that can be harvested are usually referred to as "crops" when they are being discussed as categories - the individual organism is a plant, the category of organism is a crop.
Medick is noted for being a perennial, multicut crop with a high yield.
As discussed in the comments to the original post, related words include:
Everbearing: providing fruit more or less continuously through an extended season, like some berries in my region.
Repeat bearing: developing ripe fruit more than once in a season, like some fig trees.