For the manuscript tradition, see:
http://pinakes.irht.cnrs.fr/notices/oeuvre/17962/
http://pinakes.irht.cnrs.fr/notices/oeuvre/17964/
http://pinakes.irht.cnrs.fr/notices/oeuvre/17965/
For the edition, see Bibliography.
Discussion
It has been recently argued that the cult of Saint Theodore 'Stratelates' appeared in the mid 8th century or afterwards: see Haldon 2016, pp. xi, 6-12.
Bibliography
Text:
van Hooff, G., "Acta graeca S. Theodori ducis martyris nunc primum edita," Analecta Bollandiana 2 (1883), 359-367. (BHG 1750)
Delehaye, H. (ed.), Les légendes grecques des saints militaires (Paris, 1909), 151–167. (BHG 1751)
Further reading and English translation:
Haldon, J., A Tale of Two Saints: The Martyrdoms and Miracles of Saints Theodore 'the Recruit' and 'the General', (Translated Texts for Byzantinists 2; Liverpool: Liverpool University Press, 2016).