
tauglich
suitable
Suitable, appropriate, or usable for a particular purpose, requirement, or situation.
Nach dem Unfall war das Fahrrad nicht mehr alltagstauglich.
After the accident, the bicycle was no longer suitable for everyday use.
suitable / fit
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suitable
Suitable, appropriate, or usable for a particular purpose, requirement, or situation.
Nach dem Unfall war das Fahrrad nicht mehr alltagstauglich.
After the accident, the bicycle was no longer suitable for everyday use.

fit for service
Specifically in a military context: having the physical and mental suitability for military service.
Bei der Musterung wurde der junge Mann für tauglich befunden und zum Militärdienst eingezogen.
At the medical examination, the young man was found fit for service and drafted into military service.
The adjective 'tauglich' (suitable/fit) is derived from the verb 'taugen', which means 'to be good for something' or 'to be suitable'. If something 'taugt' (is good for something), it is 'tauglich' (suitable).
Dieses alte Werkzeug taugt nicht mehr viel.
This old tool is not good for much anymore.
To indicate the purpose or requirement for which something is suitable, 'tauglich' (suitable) is almost always used with the preposition 'für' (for) and the accusative.
Diese Schuhe sind nicht für eine lange Wanderung tauglich.
These shoes are not suitable for a long hike.
'Tauglich' (suitable) is often used as the second part of compound adjectives to describe suitability for a specific area. Examples are 'alltagstauglich' (suitable for everyday use), 'familientauglich' (family-friendly/suitable for families), or 'wintertauglich' (suitable for winter).
Wir suchen ein familientaugliches Auto mit viel Platz.
We are looking for a family-friendly car with lots of space.
The meaning 'suitable for military service' is very specific. You can recognize it from words like 'Musterung' (military medical examination), 'Wehrdienst' (military service), or 'Militär' (military). The opposite in this context is 'untauglich' (unfit).
Nach der ärztlichen Untersuchung wurde er als untauglich eingestuft.
After the medical examination, he was classified as unfit.
suitable
Both words describe a person or object as suitable for a task. „Geeignet“ is neutral and assesses the fit in general, while „tauglich“ places more emphasis on practical usefulness or sufficient fitness for use. Choose „geeignet“ for a neutral assessment and „tauglich“ when proving oneself in practice is important.

Nach mehreren Wanderungen hat sich der leichte Rucksack als alltagstauglich erwiesen.
After several hikes, the lightweight backpack proved suitable for everyday use.
Dieser leichte Rucksack ist für eine kurze Wanderung gut geeignet.
This lightweight backpack is well suited to a short hike.