First, basically tissue recovery, depends on which is lesioned. E.g. bone, muscle, tendon, cartilage. Then, after the inflammation phase (m.o.l. 8-10 days), proliferation phase (up to 2 weeks) is required for tissue recovery. Indication of pain needs attention, bus is not always a restriction for mobilization. Function mode of daily activities should have priority after this first recovery, before increasing load. Intensive training start after 3 to 6 months.
I did a quick search using the term "sports recovery questionnaire", and came up with links to one particular questionnaire that seems to be used a lot. It was developed by Kellman.
Model 1:
Kellmann, M. (2010). Preventing overtraining in athletes in high‐intensity sports and stress/recovery monitoring. Scandinavian journal of medicine & science in sports, 20(s2), 95-102.
Here is an example of a paper that looked at the properties of the questionnaire:
Davis IV, H., Orzeck, T., & Keelan, P. (2007). Psychometric item evaluations of the Recovery-Stress Questionnaire for athletes. Psychology of sport and exercise, 8(6), 917-938.
Here is a paper that has compared the questionnaire results to other other biological measures of recovery:
JURIMAE, J., MAESTU, J., PURGE, P., JURIMAE, T., & SOOT, T. (2002). Relations among heavy training stress, mood state, and performance for male junior rowers. Perceptual and motor skills, 95(2), 520-526.
However, I also found references to a couple of other recovery measurement models:
Model 2:
Kenttä, G., & Hassmén, P. (1998). Overtraining and recovery. Sports Medicine, 26(1), 1-16.
Model 3:
This one may be of particular interest, because it linked to a page that has been uploaded onto ResearchGate, so you may be able to track down the author and write to them via ResearchGate.
Hanin, Y. L. (2002). Individually optimal recovery in sports: An application of the IZOF model. Enhancing recovery: Preventing underperformance in athletes, 199-217. (Link to ResearchGate.)
You should also consider monitoring mood states as psychological signs indicating under-recovery tend to appear earlier than physiological markers of overtraining. Mood states can be easily assessed via athlete self-report.
I've used self-reported heart rates on awakening among my athletes for years. When done daily with a group of athletes, a general rise in resting, on awakening, heart rates tend to correspond with a feeling of less vigor in the group.