Yeni nesil teknoloji ile geleneksel yöntemleri birleştirmek yenilikçi fikirlerin kaynağı olabilir.

Turkish allows verbs in the infinitive to take on noun roles. In this example:
• Yeni nesil teknoloji ile geleneksel yöntemleri birleştirmek = “the act of combining …”
• That entire phrase is treated as a single subject, which then “can be the source …” (kaynağı olabilir).
No extra nominalizer (like English “–ing”) is needed because the infinitive form itself fills that role.

ile means “with” or “by means of.” It links instruments or companions. You could also say –la/–le (a suffix), as in teknolojiyle, but using the full word ile:
• Stresses the instrument (“with new-generation technology”)
• Doesn’t require vowel harmony changes on the preceding noun
It’s a common way to say “with A” when listing two things you combine.

• geleneksel yöntem-ler-i: “the traditional methods” is the direct object of birleştirmek (“to combine”), so it takes the accusative suffix –i.
• yeni nesil teknoloji is not the direct object but the tool introduced by ile, so it remains in the nominative (no suffix).

Breakdown:
• yenilikçi fikirler-in = “of innovative ideas” (–in = genitive plural)
• kaynak-ı = “its source” (kaynak = source, –ı = 3rd-person possessive)
• olabilir = “can be” or “may become”
Whole phrase: “can be the source of innovative ideas.”
Structure: Possessor (ideas) in genitive + possessed noun (source) with possessive suffix + modal verb.

• olur = “it becomes” or “it is” (definite)
• olabilir = “it can be” (possibility)
Using olabilir suggests that combining these methods is a possible way to generate innovative ideas, without stating it as an absolute fact.

nesil means “generation.”
• yeni nesil teknoloji = “new-generation technology”
Here yeni (“new”) directly modifies nesil (“generation”), and together they form a single adjective phrase describing teknoloji.

Turkish suffixes adapt their vowels to match the last vowel of the stem:
• geleneksel ends in –el, so no vowel suffix is attached here.
• yöntem (stem vowel ö, e) + plural –ler (front vowel) → yönte m+ler, then accusative –i (front vowel) → yöntemleri.
• kaynak (stem vowel a) + possessive –(ı) (back vowel) → kaynağ ı (note the consonant softening k→ğ before the suffix).

Yes. You can nominalize with –ma/–me:
• Yeni nesil teknolojiyi geleneksel yöntemlerle birleştirme, yenilikçi fikirlerin kaynağı olabilir.
Here birleştirme is a noun (“the combining”) and you switch ile/ile placement accordingly. Both mean roughly the same thing; the infinitive version sounds a bit more formal or academic.